On a refinement in the classification of the nil rings
La Rosa, B. de (1977)
Portugaliae mathematica
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La Rosa, B. de (1977)
Portugaliae mathematica
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Clarke, F. Marion (1952)
Portugaliae mathematica
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de la Rosa, B., van Niekerk, J.S., Wiegandt, R. (1992)
Mathematica Pannonica
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Zhanmin Zhu (2017)
Commentationes Mathematicae Universitatis Carolinae
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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.
Dönges, Christoph (1994)
International Journal of Mathematics and Mathematical Sciences
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Biljana Zeković (2002)
Discussiones Mathematicae - General Algebra and Applications
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Frobenius algebras play an important role in the representation theory of finite groups. In the present work, we investigate the (quasi) Frobenius property of n-group algebras. Using the (quasi-) Frobenius property of ring, we can obtain some information about constructions of module category over this ring ([2], p. 66-67).
Michel André (1983)
Manuscripta mathematica
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B. Gleichgewicht (1962)
Colloquium Mathematicae
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Amouch, M. (2009)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 47B47, 47B10, 47A30. In this note, we characterize quasi-normality of two-sided multiplication, restricted to a norm ideal and we extend this result, to an important class which contains all quasi-normal operators. Also we give some applications of this result.
Robert H. Lohman (1974)
Colloquium Mathematicae
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H.J. Weinert, V.N. Dixit, P.K. Singhal (1986)
Semigroup forum
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