Results 1 to 10 of about 130 (116)
On Gray Images of Cyclic and Self-Orthogonal Codes over
EntropyLet 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
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On Almost Quasi-Frobenius Fuzzy Rings
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
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Frobenius splitting of Schubert varieties of semi-infinite flag manifolds
Forum of Mathematics, Pi, 2021 We exhibit basic algebro-geometric results on the formal model of semi-infinite flag varieties and its Schubert varieties over an algebraically closed field ${\mathbb K}$ of characteristic $\neq 2$ from scratch.
Syu Kato
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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.
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A note on quasi-Frobenius rings [PDF]
Pacific Journal of Mathematics, 1968 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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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.
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FP-Injective and Weakly Quasi-Frobenius Rings
Journal of Mathematical Sciences, 2002 AMSLatex, 15 ...
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On the construction of quasi-Frobenius rings
Journal of Algebra, 1973 AbstractA quasi-Frobenius ring (QF ring) is a left Artinian ring R with identity for which the left R-module RR is injective. Since Nakayama [8] introduced the notion of a QF ring, quasi-Frobenius rings have been extensively studied. It is well known that for any QF ring R, both Rn, the ring of n × n matrices over R, and RG, group ring over R for any ...
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A Note on Quasi-Frobenius Rings
, 2005 The Faith-Menal conjecture says that every strongly right $Johns$ ring is $QF$. The conjecture is also equivalent to say every right noetherian left $FP$-injective ring is $QF$. In this short article, we show that the conjecture is true under the condition(a proper generalization of left $CS$ condition)that every nonzero complement left ideal is not ...
Shen, Liang, Chen, Jianlong
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