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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
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

Positselski, Leonid

Paperback

Series: Monografie Matematyczne, Book 70

AlgebraGeneral MathematicsGeometry

ISBN10: 3034803133
ISBN13: 9783034803137
Publisher: Springer Nature
Published: Nov 5 2012
Pages: 352
Weight: 1.15
Height: 0.90 Width: 6.10 Depth: 9.00
Language: English

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.

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