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Categories (Mathematics)

  • Axiomatic Method and Category Theoryby Andrei Rodin

    Springer 2013; US$ 129.00

    This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method,... more...

  • Homological Algebraby Marco Grandis

    World Scientific Publishing Company 2013; US$ 166.00

    We propose here a study of ‘semiexact’ and ‘homological' categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, where satellites and spectral sequences can still be studied.This is a sequel of a book on ‘Homological Algebra, The interplay of... more...

  • Homological Algebraby Marco Grandis

    World Scientific Publishing Company 2012; US$ 166.00

    In this book we want to explore aspects of coherence in homological algebra, that already appear in the classical situation of abelian groups or abelian categories. Lattices of subobjects are shown to play an important role in the study of homological systems, from simple chain complexes to all the structures that give rise to spectral sequences. A... more...

  • Relative Homological Algebraby

    De Gruyter 2011; US$ 140.00

    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...

  • Relative Homological Algebraby

    De Gruyter 2011; US$ 154.00

    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...

  • 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...

  • An Elementary Approach to Homological Algebraby L.R. Vermani

    Taylor and Francis 2010; US$ 154.95

    Homological algebra was developed as an area of study almost 50 years ago, and many books on the subject exist. However, few, if any, of these books are written at a level appropriate for students approaching the subject for the first time. An Elementary Approach to Homological Algebra fills that void. Designed to meet the needs of beginning graduate... more...

  • Homological Algebra of Semimodules and Semicontramodulesby Leonid Positselski

    Springer 2010; US$ 129.00

    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...

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

    Springer 2009; US$ 139.00

    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...

  • Conceptual Mathematicsby F. William Lawvere; Stephen H. Schanuel

    Cambridge University Press 2009; US$ 52.00

    This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists. more...