Results 191 to 200 of about 1,341,218 (213)

A Type of Quasi-Frobenius Ring

Canadian Mathematical Bulletin, 1967
In [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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LCP of group codes over finite Frobenius rings

Designs, Codes and Cryptography, 2022
Xiusheng Liu, Hualu Liu
semanticscholar   +1 more source

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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Euclidean self-dual codes over non-commutative Frobenius rings

Applicable Algebra in Engineering, Communication and Computing, 2016
S. Dougherty, A. Leroy
semanticscholar   +2 more sources

Frobenius algebras and quasi-Frobenius rings

2007
Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko   +2 more
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Partitions of Frobenius rings induced by the homogeneous weight

Advances in Mathematics of Communications, 2014
Heide Gluesing-Luerssen
exaly  

DNA codes over finite local Frobenius non-chain rings of length 4

Discrete Mathematics, 2021
exaly  

Skew constacyclic codes over the local Frobenius non-chain rings of order 16

Advances in Mathematics of Communications, 2020
Abdullah Dertli, Nuh Aydin, Yasemin Cengellenmis   +2 more
exaly