Inheritance of FRF rings

DOI10.1080/00927879108824135zbMath0719.16005OpenAlexW2002113426MaRDI QIDQ5751015

Yoshimi Kitamura

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00927879108824135

zbMATH Keywords

generatorinheritancegroup ringring extensionscentral separable algebracommutative FPF ringright and left FPFFPF property

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Group rings (16S34) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (1)

Injective classical quotient rings of polynomial rings are quasi- Frobenius

Cites Work

• On rings whose finitely generated faithful modules are generators
• Quasi-Frobenius-Erweiterungen
• Azumaya algebras and the brauer group of fpf rings

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