On some characteristic properties of quasi-Frobenius and regular rings

1954/02/01 by Masatosi Ikeda, Tadasi Nakayama · 3 citations
Mathematics · #Advanced Topics in Algebra #Commutative Algebra and Its Applications #Rings, Modules, and Algebras

paper · doi:10.1090/s0002-9939-1954-0060489-9

openalex publication_date 1954/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11

Abstract

Recently the first writer [l] gave a characterization of quasi-Frobenius rings, introduced formerly by the second writer [3], in terms of a condition proposed by K. Shoda, which reads: A ring A satisfying minimum condition and possessing

Cited by

• Remarks on quasi-Frobenius rings
• Rings whose mininjective modules are injective
• Tadashi Nakayama (mathematician) [wikipedia]