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.