Description |
1 online resource (ix, 452 pages) : illustrations. |
Physical Medium |
polychrome |
Description |
text file |
Series |
London Mathematical Society Lecture Note Series, 362 ; v. 362
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London Mathematical Society lecture note series ; 362.
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Summary |
A detailed account of main results in the theory of differential tensor algebras. |
Bibliography |
Includes bibliographical references (pages 446-448) and index. |
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. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Tensor algebra.
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Tensor algebra. |
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Representations of algebras.
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Representations of algebras. |
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Categories (Mathematics)
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Categories (Mathematics) |
Genre/Form |
Electronic books.
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Added Author |
Salmerón, L, author.
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Zuazua, R., author.
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Other Form: |
Print version: Bautista, R., 1943- Differential tensor algebras and their module categories. Cambridge ; New York : Cambridge University Press, 2009 9780521757683 (DLC) 2009014316 (OCoLC)311769481 |
ISBN |
9781139127448 (electronic book) |
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1139127446 (electronic book) |
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9781139114615 (e-book) |
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1139114611 (e-book) |
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9781139107105 (electronic book) |
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1139107100 (electronic book) |
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9780521757683 (paperback) |
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0521757681 (paperback) |
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9781139116787 |
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1139116789 |
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9780521571814 |
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0521571812 |
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