On graded associative algebras.

DOI10.1016/S0034-4877(12)60018-4zbMath1263.16045OpenAlexW2085783578MaRDI QIDQ441281

Antonio Jesús Calderón Martín

Publication date: 21 August 2012

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(12)60018-4

zbMATH Keywords

direct sumsgroup graded algebrasgraded idealssymmetric supportgraded associative algebras

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Graded Lie (super)algebras (17B70) Graded rings and modules (associative rings and algebras) (16W50)

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Arbitrary algebras with a multiplicative basis ⋮ On groupoid gradings ⋮ On arbitrarily graded rings ⋮ Modules over linear spaces admitting a multiplicative basis ⋮ Graded extended Lie-type algebras ⋮ Arbitrary triple systems admitting a multiplicative basis ⋮ On the structure of graded commutative algebras ⋮ Lie algebras with a set grading ⋮ Non-commutative Poisson Algebras Admitting a Multiplicative Basis ⋮ Associative algebras admitting a quasi-multiplicative basis. ⋮ Connections Techniques in Graded Morita Rings Theory ⋮ \(n\)-ary generalized Lie-type color algebras admitting a quasi-multiplicative basis

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