Please use this identifier to cite or link to this item: http://inet.vidyasagar.ac.in:8080/jspui/handle/123456789/862
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]

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