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Title: | -Ideals in a Distributive Nearlattice |
Authors: | Noor, A S A Ali, M. Ayub Islam, A.K. M. S |
Keywords: | -ideal Annulets Disjunctive nearlattice Quasi-complemented nearlattice Generalized Stone nearlattice |
Issue Date: | 2012 |
Publisher: | Vidyasagar University , Midnapore , West-Bengal , India |
Series/Report no.: | Journal of Physical Science;Vol 16 [2012] |
Abstract: | In this paper, the authors give the concept of -ideals in a distributive nearlattice. They provide a number of characterizations of -ideals in a nearlattice. They prove that a nearlattice S with 0 is disjunctive if and only if its every ideal is an -ideal. They also show that S is sectionally quasi-complemented if and only if each prime -ideal is a minimal prime ideal. Finally S is generalized Stone if and only if each prime ideal contains a unique prime -ideal. |
Description: | 1-7 |
URI: | http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/862 |
ISSN: | 0972-8791 (Print) |
Appears in Collections: | Journal of Physical Sciences Vol.16 [2012] |
Files in This Item:
File | Description | Size | Format | |
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JPS-V16-1.pdf | 181.12 kB | Adobe PDF | View/Open |
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