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Homological Algebra of Semimodules and Semicontramodules: Semi-Infinite Homological Algebra of Associative Algebraic Structures

Homological Algebra of Semimodules and Semicontramodules: Semi-Infinite Homological Algebra of Associative Algebraic Structures - Paperback

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Product Details
Author:
Leonid Positselski
Publisher:
Birkhauser
Publication Date:
Nov 05, 2012
Number of pages:
352 pages
Binding:
Paperback or Softback
ISBN-10:
3034803133
ISBN-13:
9783034803137

Overview

Preface.- Introduction.- 0 Preliminaries and Summary.- 1 Semialgebras and Semitensor Product.- 2 Derived Functor SemiTor.- 3 Semicontramodules and Semihomomorphisms.- 4 Derived Functor SemiExt.- 5 Comodule-Contramodule Correspondence.- 6 Semimodule-Semicontramodule Correspondence.- 7 Functoriality in the Coring.- 8 Functoriality in the Semialgebra.- 9 Closed Model Category Structures.- 10 A Construction of Semialgebras.- 11 Relative Nonhomogeneous Koszul Duality.- Appendix A Contramodules over Coalgebras over Fields.- Appendix B Comparison with Arkhipov's Ext {\infty/2+*} and Sevostyanov's Tor_{\infty/2+*}.- Appendix C Semialgebras Associated to Harish-Chandra Pairs.- Appendix D Tate Harish-Chandra Pairs and Tate Lie Algebras.- Appendix E Groups with Open Profinite Subgroups.- Appendix F Algebraic Groupoids with Closed Subgroupoids.- Bibliography.- Index.


  • | Author: Leonid Positselski
  • | Publisher: Birkhauser
  • | Publication Date: Nov 05, 2012
  • | Number of Pages: 352 pages
  • | Binding: Paperback or Softback
  • | ISBN-10: 3034803133
  • | ISBN-13: 9783034803137

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