Title of article :
Ultra and Involution Ideals in BCK -algebras
Author/Authors :
Saidi Goraghani, Simin Department of Mathematics - Farhangian University Iran , Borzooei, R. A Department of Mathematics - Shahid Beheshti University, Tehran, Iran
Abstract :
In this paper, we define the notions of ultra and involution ideals in BCK-algebras. Then we get the relation among them and other ideals as (positive) implicative, associative, commutative and prime ideals. Specially, we show that in a bounded implicative BCK-algebra, any involution ideal is a positive implicative ideal and in a bounded positive implicative lower BCK-semilattice, the notions of prime ideals and ultra ideals are coincide.
Keywords :
BCK-algebra , involution ideal , ultra ideal , implicative ideal , positive implicative , associative , commutative
Journal title :
Astroparticle Physics
