文章基本信息
- 标题:Nearlattices Whose Sets of Principal n -ideals Form Relatively Normal Nearlattices
- 本地全文:下载
- 作者:M. S. Raihan ; 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:2010
- 卷号:3
- 期号:1
- 页码:35
- 语种:English
- 出版社:Rajshahi University
- 摘要:We generalize several results of relatively normal nearlattices in terms of n -ideals. We introduce the notion of relative n -annihilators in a nearlattice and include some interesting results on this. Several characterizations of the set of principal n -ideals P n ( S ) are given which form s a relatively normal nearlattice in terms of relative n -annihilators. It is shown that P n ( S ) is relatively normal if and only if for any two incomparable prime n -ideals P and Q , P Ú Q =L. Keywords: Relatively normal nearlattice; Relative n -annihilator; Incomparable prime n -ideals. © 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved. doi:10.3329/jsr.v3i1.3955 J. Sci. Res. 3 (1), 35-42 (2011)
- 关键词:Relatively Normal Near lattice;Relative n-annihilator;Incomparable prime n-ideals.