On semidistributive rings

DOI10.1080/00927879708826062zbMath0883.16011OpenAlexW1966547251MaRDI QIDQ4361012

Ryszard Mazurek, Edmund R. Puczylowski

Publication date: 15 March 1998

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879708826062

zbMATH Keywords

Jacobson radicalBrown-McCoy radicalsimple Artinian ringsKoethe's problemleft \(\Sigma\)-distributive ringssubdirect sums of primitive ringssums of distributive left ideals

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) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ideals in associative algebras (16D25) Jacobson radical, quasimultiplication (16N20) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items

Unnamed Item, Unnamed Item, On Extensions of Chain Algebras and Atoms of the Lattice of Radicals, Distributively generated rings and distributive modules, Comparizer Ideals of Rings

Cites Work

• Unnamed Item
• Unnamed Item
• Distributive modules
• On nilpotent element of distributive rings
• The strongly prime radical of crossed products
• Modules Whose Lattice of Submodules is Distributive
• On the ideal structure of right distributive rings