Results 151 to 160 of about 5,492 (174)
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Quasi-Frobenius Rings and Nakayama Permutations of Semiperfect Rings
Ukrainian Mathematical Journal, 2002An associative ring \(A\) is called a ring with duality for simple modules (or a DSM-ring) if for each simple right (left) \(A\)-module \(U\) the dual module \(U^*\) is a simple left (right) \(A\)-module. It is known that an Artinian ring is quasi-Frobenius iff it is a DSM-ring.
Dokuchaev, M.A., Kirichenko, V.V.
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1976
A ring A is quasi-Frobenius (QF) in case A is right and left Artinian, and there exists an A-duality fin. gen. mod-A ↝ fin. gen. A-mod.
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A ring A is quasi-Frobenius (QF) in case A is right and left Artinian, and there exists an A-duality fin. gen. mod-A ↝ fin. gen. A-mod.
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Notes on quasi-Frobenius rings
Georgian Mathematical Journal, 2019Abstract We give some new characterizations of quasi-Frobenius rings. Namely, we prove that for a ring R, the following statements are equivalent: (1) R is a quasi-Frobenius ring, (2) M
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On decomposition of strongly quasi-frobenius rings
Communications in Algebra, 2000We prove that the Nakayama permutation of a strongly quasi-Frobenius ring gives rise to a ring decomposition of the ring.
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Frobenius and Quasi-Frobenius Rings
1999The class of rings that are self-injective (as a left or right module over themselves) has been under close scrutiny by ring theorists. There is a vast literature on the structure of self-injective rings satisfying various other conditions. In a book of limited ambition such as this, it would be difficult to do justice to this extensive literature.
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Gorenstein Homological Properties and Quasi-Frobenius Bimodules
Bulletin of the Iranian Mathematical Society, 2021Chaoling Huang +2 more
exaly
On an amalgamated duplication of a ring along an ideal which are quasi-Frobenius
Beitrage Zur Algebra Und Geometrie, 2011Najib Mahdou +2 more
exaly