Homological algebra of semimodules and semicontramodules. Semi-infinite homological algebra of assoc

By L. Positselski. 2007

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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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e4d58391a5aa1549760c8e808126433c69b80d3f

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Citations in the corpus

Abelian right perpendicular subcategories in module categories (2017, methodology): “Then one defines left R-contramodules as TR-modules [21, 22, 24, 30].”
Coherent analogues of matrix factorizations and relative singularity categories (2011, background): “It is also very similar to the derived comodule-contramodule correspondence theory, developed by the present author in [35, 34].”