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标题：Characterizations of those P n (S) which are Relatively Stone Nearlattice
其他标题：Characterizations of those Pn(S) which are Relatively Stone Nearlattice
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作者：S. Akhter ; A. S. A. Noor
期刊名称：Journal of Scientific Research
印刷版ISSN：2070-0237
电子版ISSN：2070-0245
出版年度：2012
卷号：4
期号：3
页码：589-601
DOI：10.3329/jsr.v4i3.10103
语种：English
出版社：Rajshahi University
摘要：For a fixed element n of a nearlattice S, a convex subnearlattice of S containing n is called an n-ideal of S. An n-ideal generated by a single element a is called a principal n-ideal, denoted by n. The set of principal n-ideals is denoted by Pn(S). A distributive nearlattice S is called relatively Stone nearlattice if each closed interval [x,y] with is a Stone lattice. In this paper, we give several characterizations of those Pn(S) which are relatively Stone in terms of n-ideals and relative n-annihilators.© 2012 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi: http://dx.doi.org/10.3329/jsr.v4i3.10103 J. Sci. Res. 4 (3), 589-601 (2012)
关键词：Mathematics;Principal n-ideal; Central element; Relatively Stone nearlattice.