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کاربرد نوع شرط:
- جایگاه : پژوهشی
- مجله: Algebraic Structures and Their Applications
- نوع مقاله: Journal Article
- کلمات کلیدی: $BCK$-algebra,(associative,commutative,positive implicative,implicative) ideal,ultra ideal,involution ideal
- چکیده:
- چکیده انگلیسی: 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.
- انتشار مقاله: 03-05-1395
- نویسندگان: Simin Saidi Goraghani,R. A. Borzooei
- مشاهده