Results 141 to 150 of about 18,020 (162)

An approach to quasi-Hopf algebras via Frobenius coordinates

Journal of Algebra, 2006
We study quasi-Hopf algebras and their subobjects over certain commutative rings from the point of view of Frobenius algebras. We introduce a type of Radford formula involving an anti-automorphism and the Nakayama automorphism of a Frobenius algebra ...
Lars Kadison
exaly   +2 more sources

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FP-Injective, Simple-Injective, and Quasi-Frobenius Rings

Communications in Algebra, 2004
Mohamed F Yousif, Yiqiang Zhou
exaly   +2 more sources

Strongly quasi-Frobenius rings

Communications in Algebra, 2000
M. Hoshino
openaire   +2 more sources

Commutative Quasi-Frobenius Rings

Communications in Algebra, 1991
exaly   +2 more sources

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 ...
openaire   +2 more sources

Study Neutrosophic Quasi-Frobenius by Local and Artinian Rings

International journal of neutrosophic science
In this paper, we study the relationships between the Neutrosophic quasi-Frobenius rings and the Neutrosophic of local rings and Artinian rings. In addition, we present study the relationship between the Neutrosophic quasi-Frobenius ring and some ...
O. Omar, M. M. Abed
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.
openaire   +2 more sources

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.
openaire   +1 more source

Frobenius and Quasi-Frobenius Rings

1999
The 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.
openaire   +1 more source

SOME NEW CHARACTERIZATIONS OF QUASI-FROBENIUS RINGS BY USING PURE-INJECTIVITY

, 2020
A. Moradzadeh-Dehkordi
semanticscholar   +1 more source