A Note On A Class Of Noetherian Rings
Ravinder Kumar, Kanchan Manaktala (1975)
Publications de l'Institut Mathématique
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Ravinder Kumar, Kanchan Manaktala (1975)
Publications de l'Institut Mathématique
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P. N. Anh (1986)
Rendiconti del Seminario Matematico della Università di Padova
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A. Widiger (1983)
Fundamenta Mathematicae
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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...
Carl Faith (1989)
Publicacions Matemàtiques
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Zelmanowitz [12] introduced the concept of ring, which we call
Carl Faith (1989)
Publicacions Matemàtiques
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A ring R is (in Vámos' terminology) if every subdirectly irreducible factor ring R/I is self-injective. rings include Noetherian rings, Morita rings and almost maximal valuation rings ([V1]). In [F3] we raised the question of whether a polynomial ring R[x] over a ring R is again . In this paper we show this is not the case.
Manfred Dugas, Shalom Feigelstock (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Cortes, Wagner (2008)
International Journal of Mathematics and Mathematical Sciences
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Kenneth A. Brown (1978)
Compositio Mathematica
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Alberto Facchini (1982)
Rendiconti del Seminario Matematico della Università di Padova
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