1. Algebraic.Net - Pure And Applied Math: INDEX Categorical Algebra And Logic (82 sites) Category Theory (100 sites) Cellular Automata (98 sites) Chaos (113 sites) Classical Thermodynamics (77 sites) http://www.algebraic.net/pure_and_applied_math/index.html

Algebraic.net Home Pure And Applied Math : INDEX - (96 SUBJECTS) Abstract Algebra (104 sites) Abstract Harmonic Analysis (92 sites) Algebra (96 sites) Algebraic Geometry (94 sites) Algebraic Number Theory (86 sites) Algebraic Topology (96 sites) Analytic Geometry (105 sites) Applied Math (134 sites) Approximations Expansions (72 sites) Arithematic (86 sites) Associate Rings (78 sites) Astronomy Astrophysics (93 sites) Biostatistics (101 sites) Calculus (117 sites) Calculus Of Variations (92 sites) Categorical Algebra And Logic (82 sites) Category Theory (100 sites) Cellular Automata (98 sites) Chaos (113 sites) Classical Thermodynamics (77 sites) Combinatorics (108 sites) Communicating Math (96 sites) Commutative Algebra (91 sites) Complex Analysis (133 sites) Complex System (116 sites) Computaional Geometry (86 sites) Computational Science (100 sites) Computer Algebra (124 sites) Computer Mathematics (150 sites) Computer Science (117 sites) Convex Geometry (88 sites) Differential Equations (92 sites) Differential Geometry (108 sites) Discrete Math (116 sites) Dynamical Systems (97 sites) Entropy (96 sites) Ethnomathematics (76 sites) Euclidean Geometry (96 sites) Field Theory (127 sites) Finite Differences (80 sites) Finite Mathematics (97 sites) Fluid Mechanics (94 sites) Fourier Analysis (100 sites) Fractals (85 sites) Functional Analysis (134 sites) Game Theory (128 sites) General Relativity (107 sites) General Topology (88 sites) Geometry (147 sites) Geophysics (160 sites) Global Analysis (132 sites) Graph Theory (143 sites) Grothendieck Topology (61 sites) Group Theory (98 sites)

2. PlanetPhysics: Categorical Algebra Jan 31, 2009 Keywords extensions of categorical algebra, algebraic category of logic algebras, non-Abelian structures, abelian category, http://planetphysics.org/encyclopedia/CategoricalAlgebra.html

Physics for the people, by the people. Encyclopedia Requests Forums Docs ... Random Login create new user name: pass: forget your password? Main Menu sections Encyclopædia Papers Books Expositions meta Requests Orphanage Unclass'd Unproven ... Corrections talkback Polls Forums Feedback Bug Reports downloads Snapshots Newsletters Statistics information Docs Classification News Legalese ... TODO List categorical algebra (Topic) An Outline of Categorical Algebra This topic entry provides an outline of an important mathematical field called categorical algebra ; although specific definitions are in use for various applications of categorical algebra to specific algebraic structures , they do not cover the entire field. In the most general sense, categorical algebras - as introduced by Mac Lane in 1965 - can be described as the study of representations of algebraic structures, either concrete or abstract, in terms of categories functors and natural transformations. In a narrow sense, a categorical algebra is an associative algebra, defined for any locally finite category and a commutative ring with unity. This notion may be considered as a generalization of both the

3. CRC Press Online - Book: Mathematics Of Quantum Computation And Quantum Technolo Mathematics of Quantum Computation and Quantum Technology Editor(s) Louis Kauffman, University of Illinois, Chicago, USA; Samuel J. Lomonaco, University of Maryland http://www.crcpress.com/product/isbn/9781584888994

window.RICH_FACES_EXTENDED_SKINNING_ON=true; Tell a friend about this title (Sending...) Mathematics of Quantum Computation and Quantum Technology Editor(s): Louis Kauffman, University of Illinois, Chicago, USA Samuel J. Lomonaco, University of Maryland, Baltimore, USA Price: Publication Date: September 19, 2007 * Required field Friend's Email Address* Personal Message Your Name* Your Email Address* Send me a copy of this email Security Math Problem* If you are unable to see the image, please contact customer support Email addresses entered in this form are used only for purpose of telling your friend about this title. Tell a friend about this title Your message has been sent. Region: AFGHANISTAN ALBANIA ALGERIA AMERICAN SAMOA ANDORRA ANGOLA ANGUILLA ANTARCTICA ANTIGUA AND BARBUDA ARGENTINA ARMENIA ARUBA AUSTRALIA AUSTRIA AZERBAIJAN BAHAMAS BAHRAIN BANGLADESH BARBADOS BELARUS BELGIUM BELIZE BENIN BERMUDA BHUTAN BOLIVIA BOSNIA AND HERZEGOVINA BOTSWANA BOUVET ISLAND BRAZIL BRITISH INDIAN OCEAN TERRITORY BRUNEI DARUSSALAM BULGARIA BURKINA FASO BURUNDI CAMBODIA CAMEROON CANADA CAPE VERDE CAYMAN ISLANDS CENTRAL AFRICAN REPUBLIC CHAD CHILE CHINA CHRISTMAS ISLAND COCOS (KEELING) ISLANDS COLOMBIA COMOROS CONGO CONGO, THE DEMOCRATIC REPUBLIC OF THE

4. PlanetPhysics: William F. Lawvere Subsequently, he worked at The University of Chicago, Illinois, with http://planetphysics.org/encyclopedia/WilliamLawvere.html

Physics for the people, by the people. Encyclopedia Requests Forums Docs ... Random Login create new user name: pass: forget your password? Main Menu sections Encyclopædia Papers Books Expositions meta Requests Orphanage Unclass'd Unproven ... Corrections talkback Polls Forums Feedback Bug Reports downloads Snapshots Newsletters Statistics information Docs Classification News Legalese ... TODO List William F. Lawvere (Biography) William Francis Lawvere: Biography American mathematician (with an interest in physical mathematics , categorical logics and mathematical philosophy) born February 9, 1937 at Muncie, Indiana, USA. Currently, he is with the New York University at Buffalo as an Emeritus Professor. Dr. William Francis Lawvere is widely known for his foundation work on Adjointness in Mathematics, especially Category Theory, Topoi, closed Cartesian categories, and the axiomatic foundation of Mathematics and Category Theory based on ETAC Bill Lawvere obtained his Ph.D at Columbia university in 1963 with Samuel Eilenberg, (who was the co-founder of Category Theory with S. MacLane in 1942-1945). He visited for a year at Berkeley University, and after his PhD, during 1964-1967, he worked at the Forschungsinstitut f'ur Mathematik at the famous ETH in Zurich; he began work on the Category of Categories (which is defined as a meta-category or super-category ), and was there directly influenced by Pierre Gabriel's seminars at Oberwolfach on Alexander Grothendieck's Foundation of Algebraic Geometry.

5. Mathematics Of Quantum Computation And Quantum Technology (Hardback) - Routledge QUANTUM TOPOLOGY, CATEGORICAL ALGEBRA, AND LOGIC . Quantum Computing and Quantum Topology . Louis H. Kauffman and Samuel J. Lomonaco. TemperleyLieb Algebra From Knot Theory to Logic http://www.routledge.com/books/details/9781584888994/

Home Books Details Region Shopping Cart Login Register Routledge ... Paperbacks Direct Mathematics of Quantum Computation and Quantum Technology Contributors: Leon Cohen Zijian Diao Samson Abramsky Pradeep K. Sarvepalli ... Hong Zhou Edited by Louis Kauffman Samuel J. Lomonaco Series Editor: Goong Chen Thomas J. Bridges Price: Binding/Format: Hardback ISBN: Publish Date: September 19th 2007 Imprint: Pages: 624 pages Series: Description Contents Subjects Description Research and development in the pioneering field of quantum computing involve just about every facet of science and engineering, including the significant areas of mathematics and physics. Based on the firm understanding that mathematics and physics are equal partners in the continuing study of quantum science, Mathematics of Quantum Computation and Quantum Technology explores the rapid mathematical advancements made in this field in recent years. Novel Viewpoints on Numerous Aspects of Quantum Computing and Technology Edited by a well-respected team of experts, this volume compiles contributions from specialists across various disciplines. It contains four main parts, beginning with topics in quantum computing that include quantum algorithms and hidden subgroups, quantum search, algorithmic complexity, and quantum simulation. The next section covers quantum technology, such as mathematical tools, quantum wave functions, superconducting quantum computing interference devices (SQUIDs), and optical quantum computing. The section on quantum information deals with error correction, cryptography, entanglement, and communication. The final part explores topological quantum computation, knot theory, category algebra, and logic.

6. PlanetMath: Categorical Algebra Jul 17, 2008 In a narrow sense, a categorical algebra is an associative algebra, categorical quantum logics as quantum LMalgebraic logic, http://planetmath.org/encyclopedia/CategoricalAlgebras.html

(more info) Math for the people, by the people. donor list find out how Encyclopedia Requests ... Advanced search Login create new user name: pass: forget your password? Main Menu sections Encyclopædia Papers Books Expositions meta Requests Orphanage Unclass'd Unproven ... Classification talkback Polls Forums Feedback Bug Reports downloads Snapshots PM Book information News Docs Wiki ChangeLog ... About categorical algebra (Topic) Introduction: an outline of categorical algebra This topic entry provides an outline of an important mathematical field called categorical algebra ; although specific definitions are in use for various applications of categorical algebra to specific algebraic structures , they do not cover the entire field. In the most general sense, categorical algebras - as introduced by Mac Lane in 1965 - can be described as the study of representations of algebraic structures, either concrete or abstract, in terms of categories functors and natural transformations In a narrow sense, a categorical algebra is an associative algebra , defined for any locally finite category and a commutative ring with unity . This notion may be considered as a generalization of both the concept of group algebra and that of an incidence algebra, much as the concept of category generalizes the notions of

7. Mathematics Of Quantum Computation And Quantum Technology~tqw~ Darksiderg Torren Quantum Topology, Categorical Algebra, and Logic 407 14 Quantum Computing and Quantum Topology 409 15 Temperley–Lieb Algebra From Knot Theory to Logic and Computation via Quantum http://www.torrentreactor.net/torrents/1886376/Mathematics-of-Quantum-Computatio

8. PlanetMath: Categorical Algebra 1 Saunders Mac Lane Categorical algebra., Bull. AMS, 71 (1965), 40106 http://planetmath.org/encyclopedia/AlgebraicCategories.html

(more info) Math for the people, by the people. donor list find out how Encyclopedia Requests ... Advanced search Login create new user name: pass: forget your password? Main Menu sections Encyclopædia Papers Books Expositions meta Requests Orphanage Unclass'd Unproven ... Classification talkback Polls Forums Feedback Bug Reports downloads Snapshots PM Book information News Docs Wiki ChangeLog ... About categorical algebra (Topic) Introduction: an outline of categorical algebra This topic entry provides an outline of an important mathematical field called categorical algebra ; although specific definitions are in use for various applications of categorical algebra to specific algebraic structures , they do not cover the entire field. In the most general sense, categorical algebras - as introduced by Mac Lane in 1965 - can be described as the study of representations of algebraic structures, either concrete or abstract, in terms of categories functors and natural transformations In a narrow sense, a categorical algebra is an associative algebra , defined for any locally finite category and a commutative ring with unity . This notion may be considered as a generalization of both the concept of group algebra and that of an incidence algebra, much as the concept of category generalizes the notions of

9. Table Of Contents For Mathematics Of Quantum Computation And Quantum Technology on relaxation rates . . . . . . . . . . . . . 400 13.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . 403 xvi Quantum Topology, Categorical Algebra and Logic 406 http://catdir.loc.gov/catdir/toc/ecip0720/2007024955.html

Table of contents for Mathematics of quantum computation and quantum technology / editors, Goong Chen, Louis Kauffmann, Samuel J. Lomonaco. Bibliographic record and links to related information available from the Library of Congress catalog. Note: Contents data are machine generated based on pre-publication provided by the publisher. Contents may have variations from the printed book or be incomplete or contain other coding. Library of Congress Subject Headings for this publication: Quantum computers Mathematics. Quantum theory Mathematics.

10. PlanetMath: Topic Entry On The Algebraic Foundations Of Mathematics 5 ``Structure in Mathematics and Logic A Categorical Perspective , http://planetmath.org/encyclopedia/TopicEntryOnTheAlgebraicFoundationsOfMathemat

(more info) Math for the people, by the people. donor list find out how Encyclopedia Requests ... Advanced search Login create new user name: pass: forget your password? Main Menu sections Encyclopædia Papers Books Expositions meta Requests Orphanage Unclass'd Unproven ... Classification talkback Polls Forums Feedback Bug Reports downloads Snapshots PM Book information News Docs Wiki ChangeLog ... About topic entry on the algebraic foundations of mathematics (Topic) This is a new topic on the algebraic foundations of mathematics. a. Universal (or general) algebra : is defined as the (meta) mathematical study of general theories of algebraic structures rather than the study of specific cases, or models of algebraic structures. b. Various, specifically selected algebraic structures, such as : Boolean algebra Logic lattice algebras or many-valued (MV) logic algebras Quantum logic algebras Quantum operator algebras ( such as : involution *-algebras , or -algebras, von Neumann algebras , JB- and JL- algebras, Poisson and $C^*$ - or C*- algebras, Algebra over a set Sigma-algebra and T-algebras of monads K-algebras Group algebras Graphs generated by free groups ... Groupoid algebras and Groupoid $C^*$ -convolution algebras Hypergraphs generated by free groupoids Double algebras Index of algebras Categorical algebra F-algebra/coalgebra in category theory Category of categories as a foundation for mathematics: Functor Categories and 2-category Index of category theory super-categories and topological ` supercategories Higher dimensional algebras HDA ) -such as: algebroids, double algebroids

11. Mathematics Of Quantum Computation And Quantum Technology~tqw~ Darksiderg Downlo 12 Quantum Entanglement Concepts and Criteria 349 br / 13 Parametrizations of Positive MatricesWith Applications 387 br / Quantum Topology, Categorical Algebra, and Logic http://www.vertor.com/torrents/828057/Mathematics-of-Quantum-Computation-and-Qua

12. Voutsadakis : Categorical Abstract Algebraic Logic: More On Protoalgebraicity by G Voutsadakis 2006 - Cited by 22 - Related articles http://projecteuclid.org/euclid.ndjfl/1168352663

Log in Title Author(s) Abstract Subject Keyword All Fields FullText more options Home Browse Search ... next Categorical Abstract Algebraic Logic: More on Protoalgebraicity George Voutsadakis Source: Notre Dame J. Formal Logic Volume 47, Number 4 (2006), 487-514. Abstract Primary Subjects: Secondary Subjects: Keywords: algebraic logic equivalent deductive systems equivalent institutions protoalgebraic logics ... Leibniz hierarchy Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text Links and Identifiers Permanent link to this document: http://projecteuclid.org/euclid.ndjfl/1168352663 Digital Object Identifier: doi:10.1305/ndjfl/1168352663 Mathematical Reviews number (MathSciNet): Zentralblatt MATH identifier: back to Table of Contents References [1] Barr, M., and C. Wells

13. Voutsadakis : Categorical Abstract Algebraic Logic: Models Of π-Institutions by G Voutsadakis 2005 - Cited by 33 - Related articles http://projecteuclid.org/euclid.ndjfl/1134397662

Log in Title Author(s) Abstract Subject Keyword All Fields FullText more options Home Browse Search ... next George Voutsadakis Source: Notre Dame J. Formal Logic Volume 46, Number 4 (2005), 439-460. Abstract Primary Subjects: Secondary Subjects: Keywords: abstract algebraic logic deductive systems institutions equivalent deductive systems ... algebraizable sentential logics Full-text: Open access Screen Optimized PDF File (299 KB) PDF File (233 KB) Links and Identifiers Permanent link to this document: http://projecteuclid.org/euclid.ndjfl/1134397662 Digital Object Identifier: doi:10.1305/ndjfl/1134397662 Mathematical Reviews number (MathSciNet): Zentralblatt MATH identifier: back to Table of Contents References [1] Barr, M., and C. Wells, Category Theory for Computing Science , Prentice Hall International Series in Computer Science, Prentice Hall International, New York, 1990. Mathematical Reviews (MathSciNet): Zentralblatt MATH: [2] Blok, W. J., and D. Pigozzi, "Protoalgebraic logics"

14. Sign In — Logic Jnl IGPL by G Voutsadakis 2008 - Cited by 5 - Related articles http://jigpal.oxfordjournals.org/content/16/3/233.full

var callbackToken='5110AAE3EFE42B9'; Skip Navigation Oxford Journals Contact Us My Basket ... Issue Pp. This item requires a subscription* to Logic Journal of IGPL. * Please note that articles prior to 1996 are not normally available via a current subscription. In order to view content before this time, access to the Oxford Journals digital archive is required. If you would like to access this item you must have a personal account. Please sign in below with your personal user name and password or Register to obtain a user name and password for free. Full Text (HTML) Original Articles George Voutsadakis Categorical Abstract Algebraic Logic: Bloom's Theorem for Rule-Based π-Institutions Logic Jnl IGPL first published online February 26, 2008

15. Categorical Equivalences For Quasi-MV Algebras — J Logic Computation by R Giuntini 2010 - Cited by 6 - Related articles http://logcom.oxfordjournals.org/content/20/4/795.short

var callbackToken='511521E4D104973'; Skip Navigation Oxford Journals Contact Us My Basket ... Issue Pp. Categorical Equivalences for quasi-MV Algebras Roberto Giuntini Francesco Paoli and Antonio Ledda Department of Education, University of Cagliari, Cagliari, Italy. E-mail: Received November 20, 2007. Abstract In previous investigations into the subject [Giuntini et al. Studia Logica , 87, 99–128), Paoli et al. Reports on Mathematical Logic , 44, 53–85), Bou et al. Soft Computing quasi-MV algebras have been mainly viewed as preordered structures w.r.t. the induced preorder relation of their quasi-MV term reducts. In this article, we shall focus on a different relation which partially orders cartesian quasi-MV algebras. We shall prove that: (i) every cartesian quasi-MV algebra is embeddable into an interval in a particular Abelian -group with operators; (ii) the category of cartesian quasi-MV algebras isomorphic with the pair algebras over their own polynomial MV subreducts is equivalent both to the category of such -groups (with strong order unit), and to the category of MV algebras. As a by-product of these results we obtain a purely group-theoretical equivalence, namely between the mentioned category of

16. Categorical Abstract Algebraic Logic Algebraizable Institutions Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://www.springerlink.com/index/W50600V324788277.pdf

17. Categorical Abstract Algebraic Logic Leibniz Equality And Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://www.springerlink.com/index/P005018556632544.pdf

18. ScienceDirect - Studies In Logic And The Foundations Of Mathematics : Some Aspec by J Lambek 1995 - Cited by 6 - Related articles http://linkinghub.elsevier.com/retrieve/pii/S0049237X0680039X

window.onresize = resizeWindow; Hub ScienceDirect Scopus Register ... Go to SciVal Suite Username: Password: Remember me Not Registered? Forgotten your username or password? Go to Athens / Institution login Home ... Help All fields Author Advanced search Journal/Book title Volume Issue Page Search tips Font Size: Related Articles Diagram chasing in Mal'cev categories Journal of Pure and Applied Algebra Diagram chasing in Mal'cev categories Original Research Article Journal of Pure and Applied Algebra Volume 69, Issue 3 7 January 1991 Pages 271-284 A. Carboni, J. Lambek, M. C. Pedicchio Abstract Purchase PDF (773 K) Introduction to higher order categorical logic : and ,... Advances in Mathematics Introduction to higher order categorical logic : and , Cambridge University Press, 1986, 296 pp. Advances in Mathematics Volume 67, Issue 2 February 1988 Page 239 Gian-Carlo Rota Purchase PDF (54 K) Doctrines in Categorical Logic Studies in Logic and the Foundations of Mathematics Doctrines in Categorical Logic Original Research Article Studies in Logic and the Foundations of Mathematics Volume 90 Pages 283-313 A. Kock, G.E. Reyes

19. Categorical Abstract Algebraic Logic: The Diagram And The Reduction Operator Lem Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://www3.interscience.wiley.com/journal/114177345/articletext?DOI=10.1002/mal

20. Categorical Abstract Algebraic Logic: Gentzen π -institutions And The Deduction Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://www3.interscience.wiley.com/journal/112098156/articletext?DOI=10.1002/mal

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