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1 |
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|a Bautista, R.,
|e author.
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|a Differential tensor algebras and their module categories /
|c R. Bautista, L. Salmerón and R. Zuazua, Universidad Nacional Autónoma de México.
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|a Cambridge :
|b Cambridge University Press,
|c 2009.
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|c ©2009
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300 |
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|a 1 online resource (ix, 452 pages) :
|b illustrations
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|a London Mathematical Society Lecture Note Series, 362 ;
|v v. 362
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|a A detailed account of main results in the theory of differential tensor algebras.
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|a Includes bibliographical references (pages 446-448) and index.
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|a 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.
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|b EBSCO eBook Subscription Academic Collection - Worldwide
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650 |
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|a Tensor algebra.
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650 |
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|a Representations of algebras.
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650 |
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|a Categories (Mathematics)
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650 |
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6 |
|a Algèbre tensorielle.
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650 |
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|a Représentations des algèbres.
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|a Catégories (Mathématiques)
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|x Algebra
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|2 bisacsh
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|a Categories (Mathematics)
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|a Representations of algebras
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|a Tensor algebra
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|a Modulkategorie
|2 gnd
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650 |
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|a Tensoralgebra
|2 gnd
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700 |
1 |
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|a Salmerón, L.,
|e author.
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700 |
1 |
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|a Zuazua, R.,
|e author.
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776 |
0 |
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|i Print version:
|a Bautista, R., 1943-
|t Differential tensor algebras and their module categories.
|d Cambridge ; New York : Cambridge University Press, 2009
|z 9780521757683
|w (DLC) 2009014316
|w (OCoLC)311769481
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|a London Mathematical Society Lecture Note Series, 362.
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