Results 181 to 190 of about 1,341,218 (213)
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Canadian Mathematical Bulletin, 2005
AbstractIt is proved here that a ring R is right pseudo-Frobenius if and only if R is a right Kasch ring such that the second right singular ideal is injective.
Yousif, Mohamed F. +2 more
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AbstractIt is proved here that a ring R is right pseudo-Frobenius if and only if R is a right Kasch ring such that the second right singular ideal is injective.
Yousif, Mohamed F. +2 more
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Characterization of finite Frobenius rings
Archiv Der Mathematik, 2001T. Honold
exaly +2 more sources
New Characterizations of Quasi-Frobenius Rings
Communications in Algebra, 2006Liang Shen
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The linear programming bound for codes over finite Frobenius rings
Designs, Codes, and Cryptography, 2007Eimear Byrne +2 more
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Tiled Orders and Frobenius Rings
Mathematical Notes, 2002Let \(R\) be a discrete valuation ring with quotient field \(K\) and \({\mathfrak p}:=\text{Rad\,}R\). For an \(R\)-order \(\Lambda\) in a symmetric \(K\)-algebra \(A\), the \((\Lambda,\Lambda)\)-bimodules \(\Lambda\) and \(\Lambda^*:=\hom_R(\Lambda,R)\) can be regarded as full \(R\)-lattices in \(A\).
Dokuchaev, M. A. +2 more
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Quasi-Frobenius Rings: List of Symbols
, 2003W. K. Nicholson, M. Yousif
semanticscholar +2 more sources
Notes on quasi-Frobenius rings
, 2019We 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) M2(R){M_{2}(R)} is right Johns and every closed left ideal of R is cyclic, (3)
Zhanmin Zhu
semanticscholar +1 more source
New characterizations of pseudo-Frobenius rings and a generalization of the FGF conjecture
, 2015We provide new characterizations of pseudo-Frobenius and quasi-Frobenius rings in terms of tight modules. In the process, we also provide fresh perspectives on FGF and CF conjectures.
P. A. Guil Asensio +2 more
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Frobenius and Quasi-Frobenius Rings
1999The 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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Mathematics of the USSR-Sbornik, 1973
Let be a ring and its Jacobson radical. Let us set , , and if is a limit ordinal. We call a ring an annihilating ring if the left (right) annihilator of the right (left) annihilator of an arbitrary left (right) ideal is itself. We prove that a ring is quasi-Frobenius if and only if it is a left self-injective annihilating ring and for some ...
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Let be a ring and its Jacobson radical. Let us set , , and if is a limit ordinal. We call a ring an annihilating ring if the left (right) annihilator of the right (left) annihilator of an arbitrary left (right) ideal is itself. We prove that a ring is quasi-Frobenius if and only if it is a left self-injective annihilating ring and for some ...
openaire +3 more sources