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#### The Algebra of Secondary Cohomology Operations

Springer 2006; US$ 169.00Computing 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 Algebra

Springer 2008; US$ 49.95Learning 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 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...

#### Towards Higher Categories

Springer 2009; US$ 169.00The 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 Semicontramodules

Springer 2010; US$ 139.00This 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 Algebra

Springer 2011; US$ 49.95L. 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 Algebra

De Gruyter 2011; US$ 168.00This 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$ 154.00This 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...

#### 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...