The p. p. ring and the Pierce sheaf representation of non-commutative rings
George Szeto, T. O. To (1980)
Mathematica Slovaca
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George Szeto, T. O. To (1980)
Mathematica Slovaca
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Benini, A., Pellegrini, S. (1994)
Mathematica Pannonica
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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...
Guo, Xiaojiang, Shum, K.P. (2006)
International Journal of Mathematics and Mathematical Sciences
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Niels Schwartz (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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-rings are commutative rings whose factor rings modulo prime ideals are valuation rings. -rings occur most naturally in connection with partially ordered rings (= porings) and have been studied only in this context so far. The present note first develops the theory of -rings systematically, without assuming the presence of a partial order. Particular attention is paid to the question of axiomatizability (in the sense of model theory). Partially ordered -rings (-porings)...
Ravinder Kumar, Kanchan Manaktala (1975)
Publications de l'Institut Mathématique
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Benini, A., Pellegrini, S. (1992)
Mathematica Pannonica
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Chen, Weixing (2006)
International Journal of Mathematics and Mathematical Sciences
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Bakkari, Chahrazade, Mahdou, Najib (2009)
Beiträge zur Algebra und Geometrie
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