### On Regular Rings and Self-injective Rings, iv

Roger Yue Chi Ming (1989)

Publications de l'Institut Mathématique

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Roger Yue Chi Ming (1989)

Publications de l'Institut Mathématique

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O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2009)

Fundamenta Mathematicae

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R. Chaudhuri (1976)

Matematički Vesnik

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Otto Gerstner (1975)

Publications mathématiques et informatique de Rennes

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J.K. LUEDEMAN (1970)

Mathematische Annalen

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Keune, Frans (1996)

Documenta Mathematica

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Michał Kowalski (1976)

Annales Polonici Mathematici

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J. C. Robson (1973)

Publications du Département de mathématiques (Lyon)

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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.

Bell, Howard E., Klein, Abraham A. (2010)

Beiträge zur Algebra und Geometrie

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James A. Huckaba, Ira J. Papick (1980)

Manuscripta mathematica

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Christan U. Jensen, Soren Jondrup (1973)

Mathematische Zeitschrift

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O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2004)

Fundamenta Mathematicae

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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...

Kazimierz Szymiczek (1987)

Colloquium Mathematicae

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K.M. RANGASWAMY (1970/71)

Mathematische Annalen

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