SUBDIRECTLY IRREDUCIBLE LEFT SELF DISTRIBUTIVELY GENERATED ALGEBRAS

DOI10.1081/AGB-100105020zbMath0994.16005MaRDI QIDQ2746611

John A. Lewallen, Gary F. Birkenmeier, Henry E. Heatherly

Publication date: 27 June 2002

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

zbMATH Keywords

subdirectly irreducible algebrasleft self distributive elementsright self distributive elementsself distributively generated algebras

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) 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)

Related Items (1)

Left Self Distributively Generated Structural Matrix Rings

Cites Work

• Rings with left self distributive multiplication
• Semi-simple radical classes
• Subdirectly irreducible commutative rings
• Idempotents and completely semiprime ideals
• Left self distributively generated algebras
• Subdirectly irreducible rings–some pathology
• Subdirect unions in universal algebra
• Rings whose additive endomorphisms are ring endomorphisms

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