Non commutative truncated polynomial extensions

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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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Autores principales: Guccione, J.A., Guccione, J.J., Valqui, C.
Formato: Artículo publishedVersion
Publicado: 2012
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00224049_v216_n11_p2315_Guccione
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00224049_v216_n11_p2315_Guccione_oai
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spelling I28-R145-paper_00224049_v216_n11_p2315_Guccione_oai2024-08-16 Guccione, J.A. Guccione, J.J. Valqui, C. 2012 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. application/pdf http://hdl.handle.net/20.500.12110/paper_00224049_v216_n11_p2315_Guccione info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Pure Appl. Algebra 2012;216(11):2315-2337 Non commutative truncated polynomial extensions info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00224049_v216_n11_p2315_Guccione_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (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 Artículo
Artículo
publishedVersion
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
publishDate 2012
url http://hdl.handle.net/20.500.12110/paper_00224049_v216_n11_p2315_Guccione
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00224049_v216_n11_p2315_Guccione_oai
work_keys_str_mv AT guccioneja noncommutativetruncatedpolynomialextensions
AT guccionejj noncommutativetruncatedpolynomialextensions
AT valquic noncommutativetruncatedpolynomialextensions
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