Abstract
The notion of pseudo-BCK algebras was introduced by Georgescu and Iorgulescu Proceedings of DMTCS?01: Combinatorics, Computability and Logic, Springer, London, pp 97---114, 2001. It is so general that fleas, pseudo-hoops, psMTL, psBL, pseudo-MV et al., and so hoops, MTL, BL, MV et al. can be seen its extensions. In this paper, we extend the ideal and congruence theory to pseudo-BCK algebras, and investigate the connections between pseudo-BCK algebras and PD(GPD)-posets.
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