A note on generalized primary rings
R. Chaudhuri (1976)
Matematički Vesnik
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R. Chaudhuri (1976)
Matematički Vesnik
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Otto Gerstner (1975)
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Michał Kowalski (1976)
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Roger Yue Chi Ming (1989)
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Lăcrimioara Iancu, Maria S. Pop (2000)
Discussiones Mathematicae - General Algebra and Applications
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We give a construction for (m,n)-rings of quotients of a semicommutative (m,n)-ring, which generalizes the ones given by Crombez and Timm and by Paunić for the commutative case. We also study various constructions involving reduced rings and rings of quotients and give some functorial interpretations.
Veldsman, S. (2000)
Beiträge zur Algebra und Geometrie
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O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2004)
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Right ue-rings (rings with the property of the title, i.e., with the maximality of the right socle) are investigated. It is shown that a semiprime ring R is a right ue-ring if and only if R is a regular V-ring with the socle being a maximal right ideal, and if and only if the intrinsic topology of R is non-discrete Hausdorff and dense proper right ideals are semisimple. It is proved that if R is a right self-injective right ue-ring (local right ue-ring), then R is never semiprime and...
J.K. LUEDEMAN (1970)
Mathematische Annalen
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Bell, Howard E., Klein, Abraham A. (2010)
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