A NEW CLASS IN BCK-ALGEBRAS

Masaaki Kumazawa

doi:10.32219/isms.84.1_61

著者情報

キーワード: BCK-algebra, commutative BCK-algebra, lower semilattice, the condition (I)x,y, the single condition (I)x,y, BCK-algebra with Canonical Condition (I), BCK-algebra with Condition (I)

ジャーナルフリー

2021 年 84 巻 1 号 p. 61-75

DOI https://doi.org/10.32219/isms.84.1_61

詳細

抄録

In BCK-algebras, it is well known that a commutative BCKalgebra is as a lower semilattice with respect to the operation ∧. In this paper, we show that a new class in BCK-algebras which is a proper large class than the class of the commutative BCK-algebras exists, and this class is as a lower semilattice with respect to the new operation ×.

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