Non-commutative hyper residuated lattices and hyper pseudo-BCK algebras

The new notion of non-commutative hyper residuated lattice is introduced and some properties are investigated. Moreover, two definitions of hyper pseudo-BCK algebras are discussed, and the following result is proved: every strong non-commuatative hyper residuated lattice can induce a weak hyper pseudo-BCK algebra. Finally, some mistakes in literatures are pointed out.

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