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
An $f$-ring $A$ is an SV $f$-ring if for every minimal prime $\ell$-ideal $P$ of $A$, $A/P$ is a valuation domain. A topological space $X$ is an SV space if $C\left(X\right)$ 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.
@article{AFST_2010_6_19_S1_111_0,
author = {Larson, Suzanne},
title = {SV and related $f$-rings and spaces},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
publisher = {Universit\'e Paul Sabatier, Toulouse},
volume = {Ser. 6, 19},
number = {S1},
year = {2010},
pages = {111-141},
doi = {10.5802/afst.1278},
mrnumber = {2675724},
zbl = {pre05799084},
language = {en},
url = {http://www.numdam.org/item/AFST_2010_6_19_S1_111_0}
}

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, pp. 111-141. doi : 10.5802/afst.1278. https://www.numdam.org/item/AFST_2010_6_19_S1_111_0/

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