Monomial conditions on prime rings

DOI10.1007/BF02761663zbMath0426.16003MaRDI QIDQ1135905

Louis Halle Rowen

Publication date: 1977

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

prime ringsnil right idealJohnson ringleft primitive ringleft singular idealpivotal generalized monomialpivotal monomialspre-Goldie right ideal

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Rings with polynomial identity (16Rxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (7)

Correction to Monomial conditions on prime rings ⋮ Normal Classes of Prime Rings Determined by Modules ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Associative rings ⋮ Rings radical over subrings ⋮ Properties of intermediate extensions ⋮ Modules

Cites Work

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• Monomial conditions on rings
• General polynomial identities. II
• Primitive rings with involution and pivotal monomials
• Lectures on injective modules and quotient rings
• Prime rings satisfying a generalized polynomial identity
• Quotient rings of rings with zero singular ideal
• Prime rings having one-sided ideal with polynomial identity coincide with special Johnson rings
• The Structure of Prime Rings Under Ascending Chain Conditions
• A Generalization of Polynomial Identities in Rings
• Semi-Prime Rings with Maximum Condition
• On the Structure of Semi-Prime Rings and their Rings of Quotients
• Generalized Polynomial Identities and Pivotal Monomials
• Prime Rings Having Polynomial Identities with Arbitrary Coefficients
• The Extended Centralizer of a Ring Over a Module

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