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m-Quasinormal f-rings

โœ Scribed by Chawne Monique Kimber


Book ID
104152308
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
232 KB
Volume
158
Category
Article
ISSN
0022-4049

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โœฆ Synopsis


Given a completely regular topological space X , we wish to determine the poset structure of the root system of prime ideals of the ring C(X ) of real-valued continuous functions on X ; and vice versa. Here, we describe three measures on the poset of prime subgroups of a lattice-ordered group which determine the arithmetic of the group. Then we show that C(X ) has the property that the sum of any m minimal prime ideals is a maximal ideal or the entire ring if and only if the subspace m j=1 cl(coz(fj)) โŠ‚ X is a P-space for every pairwise disjoint family {fj} m j=1 โŠ‚ C(X ).


๐Ÿ“œ SIMILAR VOLUMES


Remarks on quasinormal rings
โœ Nobuharu Onoda; Ken-ichi Yoshida ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 921 KB
ALHOST M-RINGS AND M*-RINGS
โœ LE ROUX, H. J. ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Taylor and Francis Group ๐ŸŒ English โš– 285 KB