ultra and involution ideals in bck-algebras
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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.
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Journal title:
algebraic structures and their applicationsجلد ۲، شماره ۲، صفحات ۲۳-۳۶
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