Universally catenarian domains of D + M type, II

David E. Dobbs and Marco Fontana

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-6

Abstract:

Let T be a domain of the form K + M , where K is a field and M is a maximal ideal of T . Let D be a subring of K such that R = D + M is universally catenarian. Then D is universally catenarian and K is algebraic over k , the quotient field of D . If [ K : k ] < ∞ , then T is universally catenarian. Consequently, T is universally catenarian if R is either Noetherian or a going-down domain. A key tool establishes that universally going-between holds for any domain which is module-finite over a universally catenarian domain.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:305095

DOI: 10.1155/S0161171291000212

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