Associative systems of left quotients.

DOI10.1016/j.jalgebra.2005.02.035zbMath1100.16026OpenAlexW2142255906MaRDI QIDQ2583026

Gonzalo Aranda Pino, Mercedes Siles Molina

Publication date: 13 January 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.02.035

zbMATH Keywords

Morita contextsgraded algebrassuperalgebrasassociative pairsassociative triple systemsmaximal quotient systemssystems of quotients

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Super structures (17C70) ``Super (or ``skew) structure (16W55) Ternary compositions (17A40)

Related Items (1)

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

Cites Work

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• Quadratic Jordan systems of Hermitian type
• Jordan pairs
• Algebras of quotients of Lie algebras.
• Jordan systems of Martindale-like quotients
• Elementary groups and stability for Jordan pairs
• The maximal symmetric ring of quotients
• Maximal algebras of Martindale-like quotients of strongly prime linear Jordan algebras
• The maximal graded left quotient algebra of a graded algebra.
• Fountain-Gould left orders for associative pairs.
• Prime rings satisfying a generalized polynomial identity
• Left Quotient Associative Pairs and Morita Invariant Properties
• Morita Invariance and Maximal Left Quotient Rings
• The splitting property for graded rings
• The ring of fractions of a Jordan algebra

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