| Description |
1 online resource (ix, 452 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
London Mathematical Society Lecture Note Series, 362 ; v. 362
|
|
London Mathematical Society lecture note series ; 362.
|
| 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. |
|
Representations of algebras.
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Representations of algebras. |
|
Categories (Mathematics)
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Categories (Mathematics) |
| Genre/Form |
Electronic books.
|
| Added Author |
Salmerón, L, author.
|
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Zuazua, R., author.
|
| 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) |
|
1139127446 (electronic book) |
|
9781139114615 (e-book) |
|
1139114611 (e-book) |
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9781139107105 (electronic book) |
|
1139107100 (electronic book) |
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9780521757683 (paperback) |
|
0521757681 (paperback) |
|
9781139116787 |
|
1139116789 |
|
9780521571814 |
|
0521571812 |
|
