Associative algebras admitting a quasi-multiplicative basis.

DOI10.1007/s10468-014-9482-yzbMath1335.16005OpenAlexW2082496837MaRDI QIDQ484637

Antonio Jesús Calderón Martín

Publication date: 7 January 2015

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-014-9482-y

zbMATH Keywords

structure theoryassociative algebrasmultiplicative basesquasi-multiplicative bases

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Ideals in associative algebras (16D25) Twisted and skew group rings, crossed products (16S35)

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Modules over linear spaces admitting a multiplicative basis ⋮ Decompositions of linear spaces induced by n-linear maps ⋮ Decompositions of linear spaces induced by bilinear maps ⋮ \(n\)-ary generalized Lie-type color algebras admitting a quasi-multiplicative basis ⋮ On filtered multiplicative bases of some associative algebras.

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