A note on generalized primary rings
R. Chaudhuri (1976)
Matematički Vesnik
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R. Chaudhuri (1976)
Matematički Vesnik
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Otto Gerstner (1975)
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Keune, Frans (1996)
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Bell, Howard E., Klein, Abraham A. (2010)
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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.
O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2009)
Fundamenta Mathematicae
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Roger Yue Chi Ming (1989)
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Christan U. Jensen, Soren Jondrup (1973)
Mathematische Zeitschrift
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Seth WARNER (1994)
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Kazimierz Szymiczek (1987)
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K.M. RANGASWAMY (1970/71)
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Keng-Teh Tan (1977)
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Veldsman, S. (2000)
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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...