Open Daily: 10am - 10pm | Alley door 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

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

Hardcover

Series: Monografie Matematyczne, Book 70

AlgebraGeneral MathematicsGeometry

ISBN10: 3034604351
ISBN13: 9783034604352
Publisher: Springer Nature
Published: Sep 6 2010
Pages: 352
Weight: 1.45
Height: 1.00 Width: 6.10 Depth: 9.20
Language: English
ThesubjectofthisbookisSemi-In?niteAlgebra, ormorespeci?cally, Semi-In?nite Homological Algebra. The term semi-in?nite is loosely associated with objects that can be viewed as extending in both a positive and a negative direction, withsomenaturalpositioninbetween, perhapsde?nedupto a?nitemovement. Geometrically, this would mean an in?nite-dimensional variety with a natural class of semi-in?nite cycles or subvarieties, having always a ?nite codimension in each other, but in?nite dimension and codimension in the whole variety [37]. (For further instances of semi-in?nite mathematics see, e. g., [38] and [57], and references below. ) Examples of algebraic objects of the semi-in?nite type range from certain in?nite-dimensional Lie algebras to locally compact totally disconnected topolo- cal groups to ind-schemes of ind-in?nite type to discrete valuation ?elds. From an abstract point of view, these are ind-pro-objects in various categories, often - dowed with additional structures. One contribution we make in this monograph is the demonstration of another class of algebraic objects that should be thought of as semi-in?nite, even though they do not at ?rst glance look quite similar to the ones in the above list. These are semialgebras over coalgebras, or more generally over corings - the associative algebraic structures of semi-in?nite nature. The subject lies on the border of Homological Algebra with Representation Theory, and the introduction of semialgebras into it provides an additional link with the theory of corings [23], as the semialgebrasare the natural objects dual to corings.

1 different editions

Also available

Also in

Algebra

View All