Injective classical quotient rings of polynomial rings are quasi- Frobenius

DOI10.1016/0022-4049(93)90152-JzbMath0778.16010WikidataQ114215365 ScholiaQ114215365MaRDI QIDQ2366055

Poobhalan Pillay, Herbera, Dolors

Publication date: 29 June 1993

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

zbMATH Keywords

QFascending chain condition for right annihilatorsright and left self-injectivecentral indeterminatesclassical left quotient ringright FPF

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Ordinary and skew polynomial rings and semigroup rings (16S36) Quasi-Frobenius rings (16L60) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (2)

The ore condition for polynomial and power series rings ⋮ Polynomial Rings Over Goldie-Kerr Commutative Rings

Cites Work

• On non-singular FPF-rings. I
• On rings whose finitely generated faithful modules are generators
• Anneaux de groupe hereditaires et semi-hereditaires
• Orders in Artinian rings. II
• Radicals and socles of lattices
• Polynomial rings over finite dimensional rings
• Injectivity, annihilators and orders
• The polynomial ring over a Goldie ring need not be a Goldie ring
• Radicals Of Polynomial Rings
• On nonsingular right fpf rings
• Injective Modules and Injective Quotient Rings
• Rings with Ascending Condition on Annihilators
• Inheritance of FRF rings
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