Results 1 to 10 of about 3,091 (150)

On Almost Quasi-Frobenius Fuzzy Rings [PDF]

مجلة بغداد للعلوم, 2004
In this paper, we introduce the concept of almost Quasi-Frobcnius fuzzy ring as a " " of Quasi-Frobenius ring. We give some properties about this concept with qoutient fuzzy ring. Also, we study the fuzzy external direct sum of fuzzy rings.
Baghdad Science Journal
doaj   +5 more sources

On Gray Images of Cyclic and Self-Orthogonal Codes over ${\mathbb{F}}_q+u{\mathbb{F}}_q+v{\mathbb{F}}_q$ [PDF]

Entropy
Let p be a prime with p∉{2,5} and let q=pm. This paper studies cyclic and self-orthogonal linear codes of length n over the finite local non-Frobenius ring Rp,u,v=Fq+uFq+vFq, u2=v2=uv=vu=0.
Sami H. Saif, Alhanouf Ali Alhomaidhi
doaj   +2 more sources

Some results on quasi-Frobenius rings [PDF]

Commentationes Mathematicae Universitatis Carolinae, 2017
Summary: We give some new characterizations of quasi-Frobenius rings by the generalized injectivity of rings. Some characterizations give affirmative answers to some open questions about quasi-Frobenius rings, and some characterizations improve some results on quasi-Frobenius rings.
Zhu, Zhanmin
openaire   +4 more sources

A generalization of quasi-frobenius rings

Journal of Algebra, 1966
exaly   +3 more sources

A-D3 Modules and A-D4 Modules

Journal of Mathematics, 2023
Let A be a class of some right R-modules that is closed under isomorphisms, and let M be a right R-module. Then M is called A-D3 if, whenever N and K are direct summands of M with M=N+K and M/K∈A, then N∩K is also a direct summand of M; M is called an A ...
Zhanmin Zhu
doaj   +1 more source

A Generalization of Quasi-Frobenius Rings [PDF]

Proceedings of the American Mathematical Society, 1969
Let \(R\) be a ring and \(_R\mathcal M\) the category of all left \(R\)-modules. \textit{G. Azumaya} [Nagoya Math. J. 27, 697--708 (1966; Zbl 0144.02303)] proved that if all faithful left \(R\)-modules are generators in \(_R\mathcal M\), \(R\) is left self-injective and a direct sum of indecomposable left ideals having minimal left ideals (cf.
openaire   +2 more sources

A note on quasi-Frobenius rings [PDF]

Pacific Journal of Mathematics, 1968
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On orders in quasi-Frobenius rings

Journal of Algebra, 1967
exaly   +3 more sources

A note on quasi-Frobenius rings [PDF]

Proceedings of the American Mathematical Society, 1996
It is shown that a semiperfect ring R R is quasi-Frobenius if and only if every closed submodule of
Dinh Van Huynh, Ngo Si Tung
openaire   +3 more sources

On groupoid graded (quasi-)Frobenius rings

Indian Journal of Pure and Applied Mathematics
Emil Ilić-Georgijević
exaly   +2 more sources