Rings in which annihilators form a sublattice of the lattice of ideals

DOI10.1007/BF00970321zbMath0538.16009MaRDI QIDQ793126

M. Ya. Finkel'shtejn

Publication date: 1983

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

idempotentsBaer ringleft annihilatorAC-ringdirect sum of integral domainslattice of left idealsleft Rickart AC-ringleft self-injective ringmaximal ring of quotientsregular radical

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (1)

Lattices of annihilators in commutative algebras over fields.

Cites Work

• Semi-orthogonality in Rickart rings
• Rings of quotients of rings without nilpotent elements
• On Continuous Regular Rings and Semisimple Self Injective Rings
• Modules Et Anneaux Quasi-Continus
• Semihereditary rings
• Rings in which ideals are annihilators
• The Maximal Regular Ideal of a Ring
• Unnamed Item
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