Characterization of Distributive and Standard Ideals in Semilattices
2024
Ravi Kumar,E.S., Rama | Rao, J, Venkateswara | kumar, Srinivas
This paper investigates the concepts of distributive ideal, dually distributive ideal and standard ideal in a join semilattice. It concerns with the property of ideals in a distributive semilattice. We obtain a characterization theorem for distributive (dually distributive) and standard ideal in a join semilattice. We establish the necessary and sufficient condition for a distributive ideal to be standard ideal. Finally, we bear out the fundamental theorem of homomorphism and Isomorphism theorem of standard ideal.
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出版者
CNCS, Mekelle University 231, Mekelle, Tigray, Ethiopia
其它主题
Dually distributive ideal; Join semi lattice; Distributive semilattice; Distributive ideal; Standard ideal
语言
英语
格式
application/pdf
许可
Copyright (c) 2024 Momona Ethiopian Journal of Science (MEJS)
ISSN
2220-184X, 2073-073X
类型
Journal Article; Journal Part; Info:eu-Repo/semantics/publishedversion; Journal Article; Journal Part
来源
Momona Ethiopian Journal of Science (MEJS) ; Vol. 3 No. 1 (2011): Momona Ethiopian Journal of Science (MEJS); 20-36, 2220-184X, 2073-073X
2025-07-28
Dublin Core
