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Yayın On Pseudo implicative BCK ideals of Pseudo-BCK algebras(Maltepe Üniversitesi, 2009) Moussavi, A.; Ghassemi, A.; Kordi, A.W.A. Dudek and Y.B. Jun gave a characterization of pseudo-BCK algebras, and provided conditions for a pseudo-BCK algebra to be ^-semi- lattice ordered (resp. \-semilattice ordered). Y.B. Jun, M. Kondo and K.H. Kim, introduced the notion of positive implicative pseudo-ideals in a pseudo-BCK algebra, and then they investigated some of their properties. In this paper the notion of pseudo-BCK ideals of a pseudo-BCK algebra is introduced and some related properties are investigated. We investigate the relations between this pseudo ideals and several pseudo-BCK ideals. We give some characterization theorems of pseudo-BCK ideals in pseudo- BCK algebras.