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Quasi-Frobenius rings and Galois theory
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Shoda's condition on quasi-frobenius rings
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On groupoid graded (quasi-)Frobenius rings
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New Characterizations of Quasi-Frobenius Rings
Communications in Algebra, 2006In this article, we give several new characterizations of Quasi-Frobenius rings by using mininjectivity, simple injectivity, and small injectivity, respectively. Several known results on Quasi-Frobenius rings are reproved as corollaries.
Liang Shen, Jianlong Chen
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A Type of Quasi-Frobenius Ring
Canadian Mathematical Bulletin, 1967In [3], the author proved that a ring R with identity is right noetherian and right injective if and only if R is a direct sum of a finite number of uniform right ideals, which are completely primary in the sense of that paper. In this paper, we shall determine the structure of such rings in the case where the sum of the isomorphic uniform components ...
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A Note on Quasi-Frobenius Rings and Ring Epimorphisms
Canadian Mathematical Bulletin, 1969In this note, we characterize quasi-Frobenius rings by a weakened form of the usual condition, that every ideal is an annihilator ideal.We then apply this result to pure rings in the sense of Cohn and to dominant rings, a concept arising in the study of ring epimorphisms. All rings considered have a unit element.
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Some characterizations of quasi-Frobenius rings
Bollettino dell'Unione Matematica Italiana, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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