Differential algebra in a topos
William F. Keigher (1981)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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William F. Keigher (1981)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Samman, Mohammad (2003)
Mathematica Pannonica
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H. Leroy Hutson (1993)
Publicacions Matemàtiques
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In this paper we characterize commutative rings with finite dimensional classical ring of quotients. To illustrate the diversity of behavior of these rings we examine the case of local rings and FPF rings. Our results extend earlier work on rings with zero-dimensional rings of quotients.
Chen, Weixing (2006)
International Journal of Mathematics and Mathematical Sciences
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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...
Bakkari, Chahrazade, Mahdou, Najib (2009)
Beiträge zur Algebra und Geometrie
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Alberto Facchini (1982)
Rendiconti del Seminario Matematico della Università di Padova
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Jorge C. Zilber (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Khazal, R., Dăscălescu, S., Van Wyk, L. (2003)
International Journal of Mathematics and Mathematical Sciences
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Raphael, R. (1999)
Theory and Applications of Categories [electronic only]
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Cortes, Wagner (2008)
International Journal of Mathematics and Mathematical Sciences
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