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Book Cover
Author Bautista, R., 1943- author

Title Differential tensor algebras and their module categories / R. Bautista, L. Salmerón and R. Zuazua, Universidad Nacional Autónoma de México
Published Cambridge : Cambridge University Press, 2009
Online access available from:
EBSCO eBook Academic Collection    View Resource Record  


Description 1 online resource (ix, 452 pages) : illustrations
Series London Mathematical Society Lecture Note Series, 362 ; v. 362
London Mathematical Society lecture note series ; 362
Contents t-algebras and differentials -- Ditalgebras and modules -- Bocses, ditalgebras and modules -- Layered ditalgebras -- Triangular ditalgebras -- Exact structures in A-Mod -- Almost split conflations 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 -- Free bimodule filtrations and free ditalgebras -- AX is a Roiter ditalgebra, for suitable X -- Examples and applications -- The exact categories P, P1 and -Mod -- Passage from ditalgebras -- Scalar extension and ditalgebras -- Bimodules -- Parametrizing bimodules and wildness -- Nested and seminested ditalgebras -- Critical ditalgebras -- Reduction functors -- 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 -- Almost split sequences and tameness -- Varieties of modules over ditalgebras -- Ditalgebras of partially ordered sets -- Further examples of wild ditalgebras -- Answers to selected exercises
Summary A detailed account of main results in the theory of differential tensor algebras
Bibliography Includes bibliographical references (pages 446-448) and index
Notes Print version record
Subject Categories (Mathematics)
Representations of algebras.
Tensor algebra.
Form Electronic book
Author Salmerón, L, author
Zuazua, R., author
ISBN 1139107100 (electronic bk.)
1139114611 (e-book)
1139127446 (electronic bk.)
9781139107105 (electronic bk.)
9781139114615 (e-book)
9781139127448 (electronic bk.)