Results 111 to 120 of about 147 (134)

Notes on quasi-Frobenius rings

Georgian Mathematical Journal, 2019
Abstract 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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Gauss Sums over Quasi-Frobenius Rings

2001
Quasi-Frobenius (QF) rings comprise finite fields, Galois rings and enjoy remarkable character-theoretic properties. We define two types of Gauss sums over QF rings: complete and incomplete. We compute the modulus of the former. We estimate the modulus of the latter from above and give an application to Gauss sums over Galois rings.
Philippe Langevin, Patrick Solé
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Frobenius and Quasi-Frobenius Rings

1999
The 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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A note on generalizations of quasi-Frobenius rings

Asian-European Journal of Mathematics, 2016
A ring [Formula: see text] is called quasi-Frobenius, briefly QF, if [Formula: see text] is right (or left) Artinian and right (or left) self-injective. A ring [Formula: see text] is called right co-Harada if every noncosmall right [Formula: see text]-module contains a nonzero projective direct summand and [Formula: see text] satisfies the ACC on ...
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Quasi-Frobenius Rings

2003
W. K. Nicholson, M. F. Yousif
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Strongly quasi-Frobenius rings

Communications in Algebra, 2000
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Double and Lagrangian extensions for quasi-Frobenius Lie superalgebras

Journal of Algebra and Its Applications, 2023
Sofiane Bouarroudj
exaly  

Commutative Quasi-Frobenius Rings

Communications in Algebra, 1991
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Gorenstein Homological Properties and Quasi-Frobenius Bimodules

Bulletin of the Iranian Mathematical Society, 2021
Chaoling Huang, Sun YongLiang, Yanbo Zhou   +2 more
exaly  

FINITE QUASI-FROBENIUS MODULES AND LINEAR CODES

Journal of Algebra and Its Applications, 2004
Marcus Greferath
exaly