Rings of endomorphisms and distributivity

DOI10.1007/BF02362379zbMath0839.16025MaRDI QIDQ1905303

Askar A. Tuganbaev

Publication date: 18 June 1996

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

zbMATH Keywords

nilpotent elementsJacobson radicalring of endomorphismsquasi-injective modulesprime radicalBezout ringsdistributive modulesnil subringsleft nil ideals

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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)

Related Items (7)

Endomorphism rings, power series rings, and serial modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fully invariant subgroups, full transitivity, and homomorphism groups of Abelian groups. ⋮ Skew-injective modules ⋮ Semidistributive modules ⋮ Distributive modules and rings and their close analogs

Cites Work

• Rings with flat right ideals and distributive rings
• Distributive modules
• On nilpotent element of distributive rings
• Modules Whose Lattice of Submodules is Distributive
• A Remark on Arithmetical Rings
• Decomposability of Finitely Presented Modules
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