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Homological Algebra
World Scientific Publishing Company 2013; US$ 99.00We 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 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...
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...
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...
Categories and Commutative Algebra
Springer 2011; US$ 39.99L. 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...
Homological Algebra of Semimodules and Semicontramodules
Springer 2010; US$ 89.95This 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 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...
An Introduction to Homological Algebra
Springer 2008; US$ 39.99Learning 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...
From a Geometrical Point of View
Springer 2008; US$ 179.99Explores historical and philosophical aspects of category theory, trying there with to expose its significance in the mathematical landscape. This book offers a conceptual perspective on category theory and categorical logic. It is suitable for mathematicians, logicians, historians of contemporary mathematics, physicists and computer scientists. more...
Virtual Topology and Functor Geometry
Taylor & Francis 2007; US$ 115.95Researchers consider intrinsically noncommutative spaces from the perspective of several branches of modern physics, including quantum gravity, string theory, and statistical physics. This work presents fresh ideas for the development of an intrinsically noncommutative geometry. It also covers Grothendieck categorical representations. more...
