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Categories (Mathematics)

Most popular at the top

  • Handbook of Categorical Algebra: Volume 1, Basic Category Theoryby Francis Borceux

    Cambridge University Press 1994; US$ 73.00

    First of a 3-volume work giving a detailed account of what should be known by all working in, or using category theory. Volume 1 covers basic concepts. more...

  • Handbook of Categorical Algebra: Volume 3, Sheaf Theoryby Francis Borceux

    Cambridge University Press 1994; US$ 99.00

    Third in a three part set, this volume introduces topos theory and the idea of sheaves. more...

  • The Algebra of Secondary Cohomology Operationsby Hans-Joachim Baues

    Springer 2006; US$ 169.00

    Computing the algebra of secondary cohomology operations, that enrich the structure of the Steenrod algebra, this book solves a long-standing problem on the algebra of secondary cohomology operations. It develops a different algebraic theory of such operations. The results have an impact on the Adams spectral sequence. more...

  • An Introduction to Homological Algebraby Joseph Rotman

    Springer 2008; US$ 49.95

    Learning homological algebra is a two-stage affair. Firstly, one must learn the language of Ext and Tor, and what this describes. Secondly, one must be able to compute these things using a separate language. This title provides a treatment of homological algebra which approaches the subject in terms of its origins in algebraic topology. more...

  • Threading Homology through Algebraby Giandomenico Boffi; David Buchsbaum

    Oxford University Press, UK 2006; US$ 149.99

    Aimed at graduate students and researchers in mathematics, this book takes homological themes, such as Koszul complexes and their generalizations, and shows how these can be used to clarify certain problems in selected parts of algebra, as well as their success in solving a number of them. - ;Threading Homology through Algebra takes homological themes... more...

  • Towards Higher Categoriesby John C. Baez; J.Peter May

    Springer 2009; US$ 169.00

    The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through... more...

  • Homological Algebra of Semimodules and Semicontramodulesby Leonid Positselski

    Springer 2010; US$ 139.00

    This is a monograph in semi-infinite homological algebra, concentrated mostly on the semi-infinite theory of associative algebraic structures, but including also some material on the semi-infinite homology and cohomology of Lie algebras and topological groups. The main objects of study are the double-sided derived functors SemiExt and SemiTor, and... more...

  • Categories and Commutative Algebraby P. Salmon

    Springer 2011; US$ 49.95

    L. Badescu: Sur certaines singularites des varietes algebriques.- D.A. Buchsbaum: Homological and commutative algebra.- S. Greco: Anelli Henseliani.- C. Lair: Morphismes et structures algebriques.- B.A. Mitchell: Introduction to category theory and homological algebra.- R. Rivet: Anneaux de series formelles et anneaux henseliens.- P. Salmon: Applicazioni... more...

  • Relative Homological Algebraby

    De Gruyter 2011; US$ 168.00

    This second volume deals with the relative homological algebra of complexes of modules and their applications. It is a concrete and easy introduction to the kind of homological algebra which has been developed in the last 50 years. The book serves as a bridge between the traditional texts on homological algebra and more advanced topics such as triangulated... more...

  • Relative Homological Algebraby

    De Gruyter 2011; US$ 154.00

    This is the second revised edition of an introduction to contemporary relative homological algebra. It supplies important material essential to understand topics in algebra, algebraic geometry and algebraic topology. Each section comes with exercises providing practice problems for students as well as additional important results for specialists. The... more...