On perfect pseudo-BCK algebras with pseudo-product
نویسندگان
چکیده
Pseudo-BCK algebras were introduced by G. Georgescu and A. Iorgulescu as a generalization of BCK algebras. Their properties and connections with other fuzzy structures were established by A. Iorgulescu and J. Kühr. In this paper we study the class of perfect pseudo-BCK algebras with pseudo-product and we prove that any perfect pseudo-BCK algebra with pseudo-product is strongly bipartite. Another main result of the paper states that any perfect pseudo-BCK algebra with pseudo-product admits a unique Bosbach state on it. 2000 Mathematics Subject Classification. Primary 06F35; Secondary 03G25, 08A72.
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