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Relative Homological Algebra
De Gruyter 2011; US$ 154.00This 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 Algebra
De Gruyter 2011; US$ 140.00This 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...
Locally Presentable and Accessible Categories
Cambridge University Press 1994; US$ 94.00The aim of this book is to provide an exposition of both the theory and the applications of these categories at a level accessible to graduate students. more...
Towards Higher Categories
Springer 2009; US$ 94.99The 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...
The Algebra of Secondary Cohomology Operations
Springer 2006; US$ 139.99Computing 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...
Threading Homology through Algebra
Oxford University Press, UK 2006; US$ 149.99Aimed 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...
Handbook of Categorical Algebra: Volume 1, Basic Category Theory
Cambridge University Press 1994; US$ 69.00First 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 Theory
Cambridge University Press 1994; US$ 94.00Third in a three part set, this volume introduces topos theory and the idea of sheaves. more...
Categories, Allegories
Elsevier Science 1990; US$ 137.00General concepts and methods that occur throughout mathematics ? and now also in theoretical computer science ? are the subject of this book. It is a thorough introduction to Categories, emphasizing the geometric nature of the subject and explaining its connections to mathematical logic. The book should appeal to the inquisitive reader who has seen... more...
Homological Algebra
World Scientific Publishing Company 2012; US$ 166.00In 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...
