A note on generalized primary rings
R. Chaudhuri (1976)
Matematički Vesnik
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R. Chaudhuri (1976)
Matematički Vesnik
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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.
Keune, Frans (1996)
Documenta Mathematica
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Otto Gerstner (1975)
Publications mathématiques et informatique de Rennes
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Michał Kowalski (1976)
Annales Polonici Mathematici
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O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2009)
Fundamenta Mathematicae
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Bell, Howard E., Klein, Abraham A. (2010)
Beiträge zur Algebra und Geometrie
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J. C. Robson (1973)
Publications du Département de mathématiques (Lyon)
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Kazimierz Szymiczek (1987)
Colloquium Mathematicae
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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 (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...
Stephen U. Chase, Carl Faith (1965)
Mathematische Zeitschrift
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Adrian R. Wadsworth (1989)
Mathematische Annalen
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Piotr Jędrzejewicz (2011)
Colloquium Mathematicae
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We observe that the characterization of rings of constants of derivations in characteristic zero as algebraically closed subrings also holds in positive characteristic after some natural adaptation. We also present a characterization of such rings in terms of maximality in some families of rings.
Seth WARNER (1994)
Forum mathematicum
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Christan U. Jensen, Soren Jondrup (1973)
Mathematische Zeitschrift
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