$0$-ideals in $0$-distributive posets

The concept of a $0$-ideal in $0$-distributive posets is introduced. Several properties of $0$-ideals in $0$-distributive posets are established. Further, the interrelationships between $0$-ideals and $\alpha$-ideals in $0$-distributive posets are investigated. Moreover, a characterization of prime...

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Bibliographic Details
Main Author: Khalid A. Mokbel
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2016-12-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/141/4/mb141_4_8.pdf