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Displaying similar documents to “Pathological maximal R-sequences in quasilocal domains”

Maximal non-Jaffard subrings of a field.

Mabrouk Ben Nasr, Noôman Jarboui (2000)

Publicacions Matemàtiques

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A domain R is called a maximal non-Jaffard subring of a field L if R ⊂ L, R is not a Jaffard domain and each domain T such that R ⊂ T ⊆ L is Jaffard. We show that maximal non-Jaffard subrings R of a field L are the integrally closed pseudo-valuation domains satisfying dim R = dim R + 1. Further characterizations are given. Maximal non-universally catenarian subrings of their quotient fields are also studied. It is proved that this class of domains coincides with the previous class when...

On generalization of injectivity

Roger Yue Chi Ming (1992)

Archivum Mathematicum

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Characterizations of quasi-continuous modules and continuous modules are given. A non-trivial generalization of injectivity (distinct from p -injectivity) is considered.