Description |
1 online resource (ix, 452 pages) : illustrations |
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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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 |
Tensor algebra.
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Representations of algebras.
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Categories (Mathematics)
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MATHEMATICS -- Algebra -- Linear.
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Categories (Mathematics)
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Representations of algebras
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Tensor algebra
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Modulkategorie
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Tensoralgebra
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Form |
Electronic book
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Author |
Salmerón, L., author
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Zuazua, R., author.
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ISBN |
9781139127448 |
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1139127446 |
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9781139114615 |
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1139114611 |
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9781139107105 |
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1139107100 |
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