Non commutative truncated polynomial extensions
We introduce the notion of non commutative truncated polynomial extension of an algebra . A. We study two families of these extensions. For the first one we obtain a complete classification and for the second one, which we call upper triangular, we find that the obstructions to inductively construct...
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todo:paper_00224049_v216_n11_p2315_Guccione2023-10-03T14:32:43Z Non commutative truncated polynomial extensions Guccione, J.A. Guccione, J.J. Valqui, C. We introduce the notion of non commutative truncated polynomial extension of an algebra . A. We study two families of these extensions. For the first one we obtain a complete classification and for the second one, which we call upper triangular, we find that the obstructions to inductively construct them, lie in the Hochschild homology of . A, with coefficients in a suitable . A-bimodule. © 2012 Elsevier B.V. Fil:Guccione, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Guccione, J.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00224049_v216_n11_p2315_Guccione |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
We introduce the notion of non commutative truncated polynomial extension of an algebra . A. We study two families of these extensions. For the first one we obtain a complete classification and for the second one, which we call upper triangular, we find that the obstructions to inductively construct them, lie in the Hochschild homology of . A, with coefficients in a suitable . A-bimodule. © 2012 Elsevier B.V. |
format |
JOUR |
author |
Guccione, J.A. Guccione, J.J. Valqui, C. |
spellingShingle |
Guccione, J.A. Guccione, J.J. Valqui, C. Non commutative truncated polynomial extensions |
author_facet |
Guccione, J.A. Guccione, J.J. Valqui, C. |
author_sort |
Guccione, J.A. |
title |
Non commutative truncated polynomial extensions |
title_short |
Non commutative truncated polynomial extensions |
title_full |
Non commutative truncated polynomial extensions |
title_fullStr |
Non commutative truncated polynomial extensions |
title_full_unstemmed |
Non commutative truncated polynomial extensions |
title_sort |
non commutative truncated polynomial extensions |
url |
http://hdl.handle.net/20.500.12110/paper_00224049_v216_n11_p2315_Guccione |
work_keys_str_mv |
AT guccioneja noncommutativetruncatedpolynomialextensions AT guccionejj noncommutativetruncatedpolynomialextensions AT valquic noncommutativetruncatedpolynomialextensions |
_version_ |
1807323404324306944 |