Modal operators on BCK-algebras

Author(s):

M. Bakhshi *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, modal operators on BCK-algebras, especially BCK-algebras with condition (S) are introduced and several properties and characterizations of them are investigated. Also, it is investigated under what conditions these modal  operators form a lattice. Furthermore, some special modal operators are introduced and their properties and  characterizations of them are obtained, especially in some classes of BCK-algebras such as positive implicative BCK- algebras.
Keywords:

BCK-algebra , commutative BCK-algebra , positive implicative BCK-algebra , implicative BCK-algebra , modal operator , Lattice

Language:
English
Published:
Journal of Algebraic Hyperstructures and Logical Algebras, Volume:4 Issue: 2, Spring 2023
Pages:
37 to 49
https://magiran.com/p2663989  
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