1. 0-Distributive Normal Join Semilattices.
- Author
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Talukder, M. Rashed and Gope, Rathindra C.
- Subjects
- *
SEMILATTICES - Abstract
In this paper, we introduce the notion of 0-distributivity and 1-distributivity in join semilattices. We give some characterizations of 0-distributive join semilattices. We prove Stone type separation theorem for 0-distributive and 1-distributive join semilattices. 0-distributive normal and comaximal join semilattices have been introduced. We show that the class of 0-distributive normal join semilattice is proper super class of 0-distributive comaximal join semilattices. We also show that in presence of 1-distributivity class of 0-distributive normal and comaximal join semilattices are equivalent. [ABSTRACT FROM AUTHOR]
- Published
- 2021