Left self distributively generated algebras

DOI10.1080/00927870008826838zbMath0957.16002OpenAlexW2042837805MaRDI QIDQ4942355

Gary F. Birkenmeier, Henry E. Heatherly

Publication date: 22 March 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008826838

zbMATH Keywords

direct sumsprime idealsprimitive idempotentsorthogonal idempotentsnilpotent right idealsLRD-generated algebrasself distributive elementssubdirect products of integral domains

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (2)

Left Self Distributively Generated Structural Matrix Rings ⋮ SUBDIRECTLY IRREDUCIBLE LEFT SELF DISTRIBUTIVELY GENERATED ALGEBRAS

Cites Work

• Rings with left self distributive multiplication
• Algebras generated by semicentral idempotents
• Idempotents and completely semiprime ideals
• Boolean Rings of Projection Maps
• Rings whose additive endomorphisms are ring endomorphisms
• Unnamed Item

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