Displaying similar documents to “Absolutely S-domains and pseudo-polynomial rings”

When is each proper overring of R an S(Eidenberg)-domain?

Noômen Jarboui (2002)

Publicacions Matemàtiques

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A domain R is called a maximal "non-S" subring of a field L if R ⊂ L, R is not an S-domain and each domain T such that R ⊂ T ⊆ L is an S-domain. We show that maximal "non-S" subrings R of a field L are the integrally closed pseudo-valuation domains satisfying dim(R) = 1, dim(R) = 2 and L = qf(R).

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.