Rings with left self distributive multiplication

DOI10.1007/BF00051762zbMath0782.16018OpenAlexW2008163650MaRDI QIDQ1207357

Tomáš Kepka, Gary F. Birkenmeier, Henry E. Heatherly

Publication date: 1 April 1993

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00051762

zbMATH Keywords

nilpotent elementsidentityBoolean ringdirect sum of left idealsLD-ringsleft permutablemedialRD-ringsright self distributive ringssubdirectly irreducible LD-rings

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (7)

Prime ideals and prime radicals in near-rings ⋮ On left self distributive rings ⋮ Medial and distributively generated near-rings ⋮ Left Self Distributively Generated Structural Matrix Rings ⋮ SUBDIRECTLY IRREDUCIBLE LEFT SELF DISTRIBUTIVELY GENERATED ALGEBRAS ⋮ Distributive multiplication rings ⋮ Left self distributively generated algebras

Cites Work

• Operation inducing systems
• Medial rings and an associated radical
• On semigroups admitting ring structure
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