Title of article
HOM-ASSOCIATIVE ORE EXTENSIONS and WEAK UNITALIZATIONS
Author/Authors
Back, Per Division of Applied Mathematics - The School of Education - Culture and Communication - Malardalen University, Sweden , Richte , Johan Division of Applied Mathematics - The School of Education - Culture and Communication - Malardalen University, Sweden , Silvestrov, Sergei Division of Applied Mathematics - The School of Education - Culture and Communication - Malardalen University, Sweden
Pages
21
From page
174
To page
194
Abstract
We introduce hom-associative Ore extensions as non-unital, nonassociative Ore extensions with a hom-associative multiplication, and give
some necessary and sufficient conditions when such exist. Within this framework, we construct families of hom-associative quantum planes, universal enveloping algebras of a Lie algebra, and Weyl algebras, all being hom-associative
generalizations of their classical counterparts, as well as prove that the latter
are simple. We also provide a way of embedding any multiplicative homassociative algebra into a multiplicative, weakly unital hom-associative algebra, which we call a weak unitalization.
Keywords
Hom-associative Ore extensions , hom-associative Weyl algebras
Journal title
International Electronic Journal of Algebra
Serial Year
2018
Full Text URL
Record number
2600053
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