Huang, Wenping; Wang, Dianjun Adjoint semigroups of BCI-algebras. (English) Zbl 0859.06016 Southeast Asian Bull. Math. 19, No. 3, 95-98 (1995). Summary: The notion of adjoint semigroups of BCI-algebras is introduced. We prove that there is a bijection between the ideals of a BCK-algebra \(X\) and the filters of the order-adjoint semigroup \(M(X)\). Moreover, positive implicative BCK-algebras will be characterized by their adjoint semigroups. Cited in 2 ReviewsCited in 2 Documents MSC: 06F35 BCK-algebras, BCI-algebras Keywords:adjoint semigroups; BCI-algebras; ideals; filters; positive implicative × Cite Format Result Cite Review PDF