Results 151 to 160 of about 312,361 (176)

On Quasi-Frobenius Rings

2001
There are three outstanding conjectures about quasi-Frobenius rings: The Faith conjecture that every left perfect, right selfinjective ring is quasi-Frobenius; The FGF-conjecture that every ring for which each finitely generated right module embeds in a free module is quasi-Frobenius; and The Faith-Menal conjecture that every right noetherian ring in ...
W. K. Nicholson, M. F. Yousif
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Approximately Mutually Unbiased Bases by Frobenius Rings

Journal of Systems Science and Complexity, 2020
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Naparat Sripaisan, Yotsanan Meemark
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Quasi-Frobenius Rings and Nakayama Permutations of Semiperfect Rings

Ukrainian Mathematical Journal, 2002
An 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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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

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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Some remarks on quasi-Frobenius rings

Georgian Mathematical Journal, 2015
Abstract We give some new characterizations of quasi-Frobenius rings by means of YJ-injective rings and JGP-injective rings, respectively. For example, we show that a two-sided YJ-injective right noetherian ring is quasi-Frobenius, which gives an affirmative answer to an open question asked by Roger Yue Chi Ming; a right CF, semiregular,
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Frobenius algebras and quasi-Frobenius rings

2007
Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko   +2 more
openaire   +1 more source

Relative generalized Hamming weights over Frobenius rings

Indian Journal of Pure and Applied Mathematics, 2021
Zihui Liu
exaly  

On codes over Frobenius rings: generating characters, MacWilliams identities and generator matrices

Applicable Algebra in Engineering, Communications and Computing, 2019
Steve Szabo, Steven Thomas Dougherty, Esengül Saltürk   +2 more
exaly  

New Characterizations of Quasi-Frobenius Rings

Communications in Algebra, 2006
Liang Shen, Jianlong Chen
exaly