Articles with "multiplicative basis" as a keyword



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n-Ary Generalized Lie-Type Color Algebras Admitting a Quasi-multiplicative Basis

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Published in 2018 at "Algebras and Representation Theory"

DOI: 10.1007/s10468-018-9824-2

Abstract: The class of generalized Lie-type color algebras contains the ones of generalized Lie-type algebras, of n-Lie algebras and superalgebras, commutative Leibniz n-ary algebras and superalgebras, among others. We focus on the class of generalized Lie-type… read more here.

Keywords: color; lie type; quasi multiplicative; multiplicative basis ... See more keywords
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A cohomological point of view on gradings on algebras with multiplicative basis

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Published in 2019 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2018.04.019

Abstract: Abstract In this paper we generalize the concepts of good and elementary gradings for an associative algebra A with a fixed multiplicative basis B. When the group G considered in the grading is abelian, we… read more here.

Keywords: elementary gradings; cohomological point; basis; point view ... See more keywords