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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