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Differential tensor algebras and their module categories

Author: R Bautista; L Salmerón; R Zuazua
Publisher: Cambridge ; New York : Cambridge University Press, 2009.
Series: London Mathematical Society lecture note series, 362.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

A detailed account of main results in the theory of differential tensor algebras.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: R Bautista; L Salmerón; R Zuazua
ISBN: 9780521757683 0521757681 9780521571814 0521571812
OCLC Number: 311769481
Description: ix, 452 pages : illustrations ; 23 cm.
Contents: T-algebras and differentials --
Dutalgebras and modules --
Bocses, ditalgebras and modules --
Layered ditalgebras --
Exact structures in A-mod --
Quotient ditalgebras --
Frames and roiter ditalgebras --
Product of ditalgebras --
Hom-tensor relations and dual basis --
Admissible modules --
Complete admissible modules --
Bimodule filtrations and triangular admissible modules --
Free bimodule filtrations and free datalgebras --
Examples and applications --
Passage from ditalgebras to finite-dimensional algebras --
Scalar extension and ditalgebras --
Bimodules --
Parametrizing bimodules and wildness --
Nested and seminested ditalgebras --
Critical diatalgebras --
Critical ditalgebras --
Reduction functors --
Reduction functions --
Modules over non-wild ditalgebras --
Tameness and wildness --
Modules over non-wild ditalgebras revisited --
Modules over non-wild algebras --
Absolute wildness --
Generic modules and tameness --
Varieties of modules over ditalgebras --
Ditalgebras of partially ordered sets --
Further examples of wild ditalgebras --
Answers to selected exercises.
Series Title: London Mathematical Society lecture note series, 362.
Responsibility: R. Bautista, L. Salmerón, and R. Zuazua.

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'The authors provide all minute details of every proof. the work is a remarkable example of what the reviewer would call 'open source' mathematics. In addition, they include numerous historical Read more...

 
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