On Regular Rings and Self-injective Rings, iv
Roger Yue Chi Ming (1989)
Publications de l'Institut Mathématique
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Roger Yue Chi Ming (1989)
Publications de l'Institut Mathématique
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R. Chaudhuri (1976)
Matematički Vesnik
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Robert Yue Chi Ming (1979)
Monatshefte für Mathematik
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S. Lajos, F. Szasz (1976)
Matematički Vesnik
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Otto Gerstner (1975)
Publications mathématiques et informatique de Rennes
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Keune, Frans (1996)
Documenta Mathematica
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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.
Michał Kowalski (1976)
Annales Polonici Mathematici
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J. C. Robson (1973)
Publications du Département de mathématiques (Lyon)
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Riccardo Colpi, Kent R. Fuller, Enrico Gregorio (2006)
Colloquium Mathematicae
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Based on the work of D. Happel, I. Reiten and S. Smalø on quasitilted artin algebras, the first two authors recently introduced the notion of quasitilted rings. Various authors have presented examples of quasitilted artin algebras that are not tilted. Here we present a class of right quasitilted rings that not right tilted, and we show that they satisfy a condition that would force a quasitilted artin algebra to be tilted.
Ancel C. Mewborn (1971)
Mathematische Zeitschrift
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O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2009)
Fundamenta Mathematicae
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José L. García (2015)
Colloquium Mathematicae
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It was shown in [Colloq. Math. 135 (2014), 227-262] that the pure semisimplicity conjecture (briefly, pssC) can be split into two parts: first, a weak pssC that can be seen as a purely linear algebra condition, related to an embedding of division rings and properties of matrices over those rings; the second part is the assertion that the class of left pure semisimple sporadic rings (ibid.) is empty. In the present article, we characterize the class of left pure semisimple sporadic rings...
Bell, Howard E., Klein, Abraham A. (2010)
Beiträge zur Algebra und Geometrie
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Kunio Yamagata (2008)
Colloquium Mathematicae
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We characterize the semiregularity of the endomorphism ring of a module with respect to the ideal of endomorphisms with large kernel, and show some new classes of modules with semiregular endomorphism rings.
Stephen U. Chase, Carl Faith (1965)
Mathematische Zeitschrift
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