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Three open problems on pseudo-filters (ideals) of pseudo-BCK algebras, posed by Y.B. Jun, M. Kondo and K.H. Kim [Pseudo-ideals of pseudo-BCK algebras, Scientiae Mathematicae Japonicae, 2003, 1: 93-97], are solved. Moreover, some properties of pseudo-BCK algebras and some examples are presented, and the following important result is proved: a pseudo-BCK algebra becomes a positive implicative BCK-algebra...
The aim of this paper is to introduce the notion of (∈,∈ vq)-fuzzy (implicative)ideals in pseudo MV -algebras and to investigate some of their related properties.Some characterization theorems of these generalized fuzzy (implicative) ideals are derived.
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