Rings with a Bounded Number of Generators for Right Ideals

DOI10.2307/2045754zbMath0602.16016OpenAlexW4246119998MaRDI QIDQ3737599

William D. Blair

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2045754

zbMATH Keywords

Noetherian ringpolynomial identityright idealbounded number of generatorsaffine rings

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Noetherian rings and modules (associative rings and algebras) (16P40) Modules, bimodules and ideals in associative algebras (16Dxx)

Cites Work

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• Right Noetherian rings integral over their centers
• Module finiteness of low dimensional PI rings
• Some results on multiplicity with applications to bounded and two dimensional prime bounded rings
• The number of generators of a module
• A counter-example in ring theory and homological algebra
• Subrings of Artinian and Noetherian rings
• Commutative rings with restricted minimum condition
• Liberal Extensions
• Anneaux semi-premiers, noethériens, à identités polynômiales
• RINGS WITH A BOUNDED NUMBER OF GENERATORS FOR RIGHT IDEALS

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