Commutative radical rings. I.
Tomáš Kepka, Petr Němec (2007)
Acta Universitatis Carolinae. Mathematica et Physica
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Tomáš Kepka, Petr Němec (2007)
Acta Universitatis Carolinae. Mathematica et Physica
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Jan Krempa (1974)
Fundamenta Mathematicae
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E. Puczyłowski (1976)
Fundamenta Mathematicae
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Artemovych, O.D. (2002)
Mathematica Pannonica
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Zaks, Abraham (1973)
Portugaliae mathematica
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Jan Krempa (1972)
Fundamenta Mathematicae
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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.
Andruszkiewicz, R. (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 16N80, 16S70, 16D25, 13G05. We construct some new examples showing that Heyman and Roos construction of the essential closure in the class of associative rings can terminate at any finite or the first infinite ordinal.