On uniform dimensions of ideals in right nonsingular rings

DOI10.1016/S0022-4049(97)00188-6zbMath0931.16001OpenAlexW2139450342MaRDI QIDQ1295648

Surender Kumar Jain, André Leroy, Tsit-Yuen Lam

Publication date: 7 December 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00188-6

zbMATH Keywords

bimodulesdirect sumssemiprime ringscentral idempotentsright idealsright nonsingular ringsuniform dimensionsdirect products of prime ringsessential right submodulesmaximal right quotient ringssymmetric maximal quotient rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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) Bimodules in associative algebras (16D20) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ideals in associative algebras (16D25) Homological dimension in associative algebras (16E10) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (2)

Rings of quotients of incidence algebras and path algebras. ⋮ The structure of rings of quotients.

Cites Work

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• Semiclassical limits of quantized coordinate rings
• Prime regular rings of quotients
• Simple self-injective rings
• On the dimension of a sum of modules
• Coherent Rings and Fp -Injective Modules
• Prime Ideals in Regular Self-Injective Rings

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