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Displaying similar documents to “Weak inertial coefficient rings”

Polynomial rings over Jacobson-Hilbert rings.

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.

Essential Cover and Closure

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.