Linearly compact chain rings.
Seth WARNER (1994)
Forum mathematicum
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Seth WARNER (1994)
Forum mathematicum
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Dinh van Huynh (1986)
Mathematische Zeitschrift
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J. C. Robson (1973)
Publications du Département de mathématiques (Lyon)
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Nguyen V. Dung (1990)
Mathematica Scandinavica
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R. BALAKRISHNAN (1964)
Mathematische Annalen
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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.
Vučić Dašić (1982)
Publications de l'Institut Mathématique
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Otto Gerstner (1975)
Publications mathématiques et informatique de Rennes
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Eberhard Becker, Danielle Gondard (1989)
Manuscripta mathematica
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D. Ramakotaiah (1967)
Mathematische Zeitschrift
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Michał Kowalski (1976)
Annales Polonici Mathematici
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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...
James C. Beidleman (1966)
Mathematische Zeitschrift
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Jung Wook Lim, Dong Yeol Oh (2017)
Open Mathematics
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In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or satisfy the ascending chain condition on principal ideals.
Keune, Frans (1996)
Documenta Mathematica
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