Finite \(\mathbb{Z}\)-gradings of simple associative algebras.

DOI10.1016/J.JPAA.2005.10.005zbMath1110.16050OpenAlexW2157639649MaRDI QIDQ852918

Mercedes Siles Molina

Publication date: 15 November 2006

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2005.10.005

zbMATH Keywords

graded algebrassimple Lie algebrassimple algebrasPeirce decompositions

Mathematics Subject Classification ID

Superalgebras (17A70) Graded rings and modules (associative rings and algebras) (16W50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (3)

Classification of naturally graded nilpotent associative algebras ⋮ Martindale Algebras of Quotients of Graded Algebras ⋮ Gradings induced by nilpotent elements

Cites Work

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• Finite \(\mathbb Z\)-gradings of Lie algebras and symplectic involutions.
• Simple associative algebras with finite \(\mathbb{Z}\)-grading
• Elementary groups and stability for Jordan pairs
• The maximal graded left quotient algebra of a graded algebra.
• Associative systems of left quotients.
• Left Quotient Associative Pairs and Morita Invariant Properties
• LIE ALGEBRAS WITH A FINITE GRADING

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