2 papers
math.RA2021
Every complete atomic Boolean algebra is the ideal lattice of a cBCK-algebra
C. Matthew Evans
Given a complete atomic Boolean algebra, we show there is a commutative BCK-algebra whose ideal lattice is that Boolean algebra. This result is shown to exist within a larger frame…
math.RA2020
Spectral properties of cBCK-algebras
C. Matthew Evans
In this paper we study prime spectra of commutative BCK-algebras. We give a new construction for commutative BCK-algebras using rooted trees, and determine both the ideal lattice a…