Relationships between the canonical ascending and descending central series of ideals of an associative algebra

DOI10.1080/00927872.2016.1226871zbMath1387.16014OpenAlexW2528614974MaRDI QIDQ5274704

Mayada Shahada, David M. Riley

Publication date: 6 July 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1226871

zbMATH Keywords

central seriesLie nilpotencestrong Lie nilpotenceupper Lie nilpotenceverbal and marginal subspaces

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (1)

On polynomials that are not quite an identity on an associative algebra

Cites Work

• On the Lie ideals of a ring
• Endlichkeitskriterien für Kommutatorgruppen
• Central chains of ideals in an associative ring
• On the Associated Lie Ring and the Adjoint Group of a Radical Ring
• Associative rings satisfying the Engel condition
• ALGEBRAS WITH A FINITE-DIMENSIONAL MAXIMAL SUBALGEBRA
• Verbal and Marginal Properties of Non-Associative Algebras

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