Twisted planes

Jorge A. Guccione; Juan J. Guccione; Christian Valqui

doi:10.1080/00927870903023105

Twisted planes

Jorge A. Guccione, Juan J. Guccione, Christian Valqui

Sección de Matemáticas

University of Buenos Aires

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

8 Citas (Scopus)

Resumen

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]].

Idioma original	Inglés
Páginas (desde-hasta)	1930-1956
Número de páginas	27
Publicación	Communications in Algebra
Volumen	38
N.º	5
DOI	https://doi.org/10.1080/00927870903023105
Estado	Publicada - may. 2010

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title = "Twisted planes",

abstract = "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]].",

keywords = "Polynomial rings, Twisting maps",

author = "Guccione, {Jorge A.} and Guccione, {Juan J.} and Christian Valqui",

year = "2010",

month = may,

doi = "10.1080/00927870903023105",

language = "English",

volume = "38",

pages = "1930--1956",

journal = "Communications in Algebra",

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T1 - Twisted planes

AU - Guccione, Jorge A.

AU - Guccione, Juan J.

AU - Valqui, Christian

PY - 2010/5

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N2 - 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]].

AB - 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]].

KW - Polynomial rings

KW - Twisting maps

UR - http://www.scopus.com/inward/record.url?scp=77952480461&partnerID=8YFLogxK

U2 - 10.1080/00927870903023105

DO - 10.1080/00927870903023105

M3 - Article

AN - SCOPUS:77952480461

SN - 0092-7872

VL - 38

SP - 1930

EP - 1956

JO - Communications in Algebra

JF - Communications in Algebra

IS - 5

ER -

Twisted planes

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