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A characterization of quasi-Frobenius rings
, 1952 It is shown that a ring \(A\) with unit element and satisfying minimum condition is a quasi-Frobenius ring [the reviewer, Ann. Math. (2) 42, 1--21 (1941; Zbl 0026.05801)] if and only if it satisfies the following condition proposed by \textit{K. Shoda} [Proc. Japan. Acad.
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Quasi-Frobenius rings and Galois theory
Illinois Journal of Mathematics, 1959 openaire +3 more sources
Shoda's condition on quasi-frobenius rings
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1954 openaire +2 more sources
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Graded (quasi-)Frobenius rings
Journal of Algebra, 2023This work presents a study on graded Frobenius algebras from a ring theoretical perspective. To this end, the authors introduce graded quasi-Frobenius rings, graded Frobenius rings and a shift-version of the latter ones, and they investigate the structure and representations of such objects.
Dăscălescu, S. +2 more
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