Results 131 to 140 of about 5,492 (174)
Quasi-Frobenius rings and Galois theory
Illinois Journal of Mathematics, 1959 openaire +3 more sources
Some generalizations of quasi-Frobenius rings
Osaka Mathematical Journal, 1951 openaire +4 more sources
Shoda's condition on quasi-frobenius rings
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1954 openaire +2 more sources
The Structure of Quasi-Frobenius Rings
Canadian Journal of Mathematics, 1974 Utilizing a matrix representation of semiperfect rings by a family of bimodules over local rings, we describe the structure of generalized quasi-Frobenius rings in two steps: a cyclic generalized quasi-Frobenius ring is a matrix ring over a cycle of Morita dualities between local rings, and an arbitrary generalized quasi-Frobenius ring is a matrix ring
Bruno J. Müller
openaire +3 more sources
A Note on Quasi-Frobenius Rings and Ring Epimorphisms
Canadian Mathematical Bulletin, 1969 In this note, we characterize quasi-Frobenius rings by a weakened form of the usual condition, that every ideal is an annihilator ideal.We then apply this result to pure rings in the sense of Cohn and to dominant rings, a concept arising in the study of ring epimorphisms. All rings considered have a unit element.
H. H. Storrer
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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 ...
Edmund H. Feller
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New Characterizations of Quasi-Frobenius Rings
Communications in Algebra, 2006In this article, we give several new characterizations of Quasi-Frobenius rings by using mininjectivity, simple injectivity, and small injectivity, respectively. Several known results on Quasi-Frobenius rings are reproved as corollaries.
Liang Shen, Jianlong Chen
exaly +2 more sources