PRIME ELEMENTS IN IDEMPOTENT LATTICES WITH MULTIPLICATION AND HEREDITARILY IDEMPOTENT RINGS

DOI10.1070/RM1978V033N03ABEH002468zbMath0411.16008OpenAlexW2091707140MaRDI QIDQ4198896

A. V. Andrunakievich

Publication date: 1978

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1978v033n03abeh002468

zbMATH Keywords

compactly generated modular latticeshereditarily idempotent ringsidempotent latticesstrongly irreducible prime elementsstrongly irreducible right prime ideals

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Conditions on elements (16U99) Modular lattices, Desarguesian lattices (06C05) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Modules, bimodules and ideals in associative algebras (16Dxx)

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