Left and right distributive rings

DOI10.1007/BF02305099zbMath0853.16028OpenAlexW2093951121MaRDI QIDQ1916662

Askar A. Tuganbaev

Publication date: 7 January 1997

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

Full work available at URL: https://doi.org/10.1007/bf02305099

zbMATH Keywords

nilpotent elementsprime radicalreduced ringsmaximal right idealsleft distributivitydistributive ringsright chain domainsright Bezout modulesright distributive right antisingular ringsright distributivityright quasiinvariant ringsright rings of quotients

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and representation theory of distributive lattices (06D05) Other classes of modules and ideals in associative algebras (16D80) Ideals in associative algebras (16D25) Ore rings, multiplicative sets, Ore localization (16U20) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (11)

Distributive semiprime rings ⋮ Flat modules and rings finitely generated as modules over their center ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Modules over serial rings ⋮ Unnamed Item ⋮ Skew-injective modules ⋮ Flat modules and distributive rings ⋮ Semidistributive modules ⋮ Distributive semigroup rings and related topics ⋮ Hereditary and Semiperfect Distributive Rings ⋮ Distributive modules and rings and their close analogs

Cites Work

• Rings with distributive lattice of right ideals.
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