Twisted planes

Let k be a commutative ring. We find and characterize a new family of twisted planes (i.e., associative unitary k-algebra structures on the k-module k[X, Y], having k[X] and k[Y] as subalgebras). Similar results are obtained for the k-module of two variables power series k[[X, Y]]. © Taylor & Fr...

Descripción completa

Detalles Bibliográficos
Autores principales: Guccione, Jorge Alberto, Guccione, Juan José
Publicado: 2010
Materias:
Polynomial rings
Twisting maps
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v38_n5_p1930_Guccione
http://hdl.handle.net/20.500.12110/paper_00927872_v38_n5_p1930_Guccione
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00927872_v38_n5_p1930_Guccione
record_format dspace
spelling paper:paper_00927872_v38_n5_p1930_Guccione2023-06-08T15:08:20Z Twisted planes Guccione, Jorge Alberto Guccione, Juan José Polynomial rings Twisting maps Let k be a commutative ring. We find and characterize a new family of twisted planes (i.e., associative unitary k-algebra structures on the k-module k[X, Y], having k[X] and k[Y] as subalgebras). Similar results are obtained for the k-module of two variables power series k[[X, Y]]. © Taylor & Francis Group, LLC. 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. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v38_n5_p1930_Guccione http://hdl.handle.net/20.500.12110/paper_00927872_v38_n5_p1930_Guccione
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Polynomial rings
Twisting maps
spellingShingle Polynomial rings
Twisting maps
Guccione, Jorge Alberto
Guccione, Juan José
Twisted planes
topic_facet Polynomial rings
Twisting maps
description Let k be a commutative ring. We find and characterize a new family of twisted planes (i.e., associative unitary k-algebra structures on the k-module k[X, Y], having k[X] and k[Y] as subalgebras). Similar results are obtained for the k-module of two variables power series k[[X, Y]]. © Taylor & Francis Group, LLC.
author Guccione, Jorge Alberto
Guccione, Juan José
author_facet Guccione, Jorge Alberto
Guccione, Juan José
author_sort Guccione, Jorge Alberto
title Twisted planes
title_short Twisted planes
title_full Twisted planes
title_fullStr Twisted planes
title_full_unstemmed Twisted planes
title_sort twisted planes
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v38_n5_p1930_Guccione
http://hdl.handle.net/20.500.12110/paper_00927872_v38_n5_p1930_Guccione
work_keys_str_mv AT guccionejorgealberto twistedplanes
AT guccionejuanjose twistedplanes
_version_ 1768542781247062016

Ejemplares similares