On the classification of commutative right-nilalgebras of dimension at most four

dc.creatorElduque, Alberto
dc.creatorLabra, Alicia
dc.date.accessioned2018-12-20T14:11:21Z
dc.date.available2018-12-20T14:11:21Z
dc.date.created2018-12-20T14:11:21Z
dc.date.issued2007
dc.identifierCommunications in Algebra, Volumen 35, Issue 2, 2018, Pages 577-588
dc.identifier00927872
dc.identifier15324125
dc.identifier10.1080/00927870601074780
dc.identifierhttps://repositorio.uchile.cl/handle/2250/154573
dc.description.abstractGerstenhaber and Myung (1975) classified all commutative, power-associative nilalgebras of dimension 4. In this article we extend Gerstenhaber and Myung's results by giving a classification of commutative right-nilalgebras of right-nilindex four and dimension at most four, without assuming power-associativity. For quadratically closed fields there is, up to isomorphism, a unique such algebra which is not power-associative in dimension 3, and 7 in dimension 4. Copyright © Taylor & Francis Group, LLC.
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Chile
dc.sourceCommunications in Algebra
dc.subjectNilpotence
dc.subjectPower-associative
dc.subjectRight-nilalgebras
dc.titleOn the classification of commutative right-nilalgebras of dimension at most four
dc.typeArtículo de revista


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