On nonsingular right fpf rings

DOI10.1080/00927878408823077zbMath0547.16013OpenAlexW2027745487MaRDI QIDQ3338392

W. D. Burgess

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823077

zbMATH Keywords

generatorcentral idempotentssemiprime ringclassical ring of quotientsself-injective regular ringright FPF ringsright maximal ring of quotientsfinitely generated faithful right moduleright semihereditary ringsemihereditary Pierce sheaf

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Prime and semiprime associative rings (16N60) Conditions on elements (16U99) Other classes of modules and ideals in associative algebras (16D80) Localization and associative Noetherian rings (16P50) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Associative rings and algebras with additional structure (16W99)

Related Items (4)

Injective classical quotient rings of polynomial rings are quasi- Frobenius ⋮ On rings whose finitely generated faithful modules are generators ⋮ A generalization of FPF rings ⋮ Isomorphisms between endomorphism rings of progenerators

Cites Work

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• Regular FPF rings
• Orders over hereditary rings
• Injective Modules and Injective Quotient Rings
• Semi-prime and non-singular fpf rings
• Semihereditary and fully idempotent fpf rings
• Pierce sheaves of non-commutative rings
• Semihereditary prime algebras
• Hereditary Commutative Rings and Centres of Hereditary Rings

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