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Homological Algebra of Semimodules and Semicontramodules: Semi-infinite Homological Algebra of Associative Algebraic Structures (Monografie Matematyczne)
Rok: 2010
ISBN: 9783034604352
OKCZID: 110738496
Citace (dle ČSN ISO 690):
POSICEL‘SKIJ, Leonid Jefimovič. Homological algebra of semimodules and semicontramodules: semi-infinite homological algebra of associative algebraic structures. Basel: Birkhäuser, 2010. xxiv, 349 stran. Monografie matematyczne. New series, volume 70.
Anotace
This 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 the phenomenon of comodule-contramodule correspondence, connecting them with the more conventional, one-sided Ext and CtrTor. Contramodules, introduced originally by Eilenberg and Moore in 1960's but almost forgotten for four decades, play a very prominent role in this book, with many versions of them introduced and discussed. Among other topics considered in the monograph there are the semi-infinite model category structures and the relative nohomogeneous Koszul duality.