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Journals and Conferences
In 1996, Imai and Iséki 1 introduced two classes of abstract algebras: BCK-algebras and BCI-algebras. These algebras have been extensively studied since their introduction. In 1983, Hu and Li 2… (More)
In this paper, we introduce the concept of fuzzy ideals in implication groupoids and investigate its properties.
The concept of a GADL as a generalization of an ADL is introduced. Necessary and sufficient conditions for a GADL to become a distributive lattice and a GADL to become an ADL are obtained. We also… (More)
The concept of a closure operator ∇ in an ADL R was introduced. If ∇R is the set of all ∇−invariant elements of R, then the concepts of ∇R−ideal, ∇R−prime ideal are introduced. The interrelations… (More)
The concept of extended ideals in an Almost distributive Lattice is introduced and studied their properties.
Necessary and sufficient conditions for a GADL to become an ADL are obtained interms of congruence relations and proved that every associative GADL is an ADL.