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2010 On Hom-type algebras
Yael FREGIER, Aron GOHR
J. Gen. Lie Theory Appl. 4: 1-16 (2010). DOI: 10.4303/jglta/G101001

Abstract

Hom-algebras are generalizations of algebras obtained using a twisting by a linear map. But there is a priori a freedom on where to twist. We enumerate here all the possible choices in the Lie and associative types and study the relations between the obtained algebras. The associative case is richer since it admits the notion of unit element. We use this fact to find sufficient conditions for Hom-associative algebras to be associative and classify the implications between the Hom-associative types of unital algebras.

Citation

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Yael FREGIER. Aron GOHR. "On Hom-type algebras." J. Gen. Lie Theory Appl. 4 1 - 16, 2010. https://doi.org/10.4303/jglta/G101001

Information

Published: 2010
First available in Project Euclid: 11 October 2011

zbMATH: 1281.17002
MathSciNet: MR2795570
Digital Object Identifier: 10.4303/jglta/G101001

Subjects:
Primary: 16Y99, 17A01, 17A30, 17D99

Rights: Copyright © 2010 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

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