Larson, Suzanne
SV and related f-rings and spaces
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6 : Tome 19 (2010) no. S1 , p. 111-141
MR 2675724 | Zbl pre05799084
doi : 10.5802/afst.1278
URL stable : http://www.numdam.org/item?id=AFST_2010_6_19_S1_111_0

An f-ring A is an SV f-ring if for every minimal prime -ideal P of A, A/P is a valuation domain. A topological space X is an SV space if C(X) is an SV f-ring. SV f-rings and spaces were introduced in [HW1], [HW2]. Since then a number of articles on SV f-rings and spaces and on related f-rings and spaces have appeared. This article surveys what is known about these f-rings and spaces and introduces a number of new results that help to clarify the relationship between SV f-rings and spaces and related f-rings and spaces.

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