Semihereditary and fully idempotent fpf rings

DOI10.1080/00927878308822846zbMath0502.16013OpenAlexW2026144216MaRDI QIDQ3967663

Steffen Page

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00927878308822846

zbMATH Keywords

quotient ringsmatrix ringsBaer ringsfinitely generated faithful modulescategory of left modulesfully left idempotent FPF-ringsleft FPF-ringnonsingular left FPF- ringsemiprime left FPF-ringssubdirect products of semisimple Artinian rings

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) Quasi-Frobenius rings (16L60) Noncommutative local and semilocal rings, perfect rings (16L30) Conditions on elements (16U99)

Related Items (6)

Unnamed Item ⋮ Semiperfect FPF Rings ⋮ Azumaya algebras and the brauer group of fpf rings ⋮ A generalization of FPF rings ⋮ PRINCIPALLY QUASI-BAER RINGS ⋮ On nonsingular right fpf rings

Cites Work

• Unnamed Item
• Regular FPF rings
• On the von Neumann regularity of rings with regular prime factor rings
• Semiperfect Prüfer rings and FPF rings
• A generalization of quasi-Frobenius rings
• Semihereditary endomorphism rings
• Semi-prime and non-singular fpf rings
• Dimension theory for nonsingular injective modules
• Completely Faithful Modules and Self-Injective Rings
• A Class of Rings Having All Singular Simple Modules Injective.
• Properties of Quotient Rings
• Self-injective rings
• On regular self-injective rings
• Correction to: Regular FPF rings

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