ultra and involution ideals in bck-algebras

نویسندگان

simin saidi goraghani

farhangian universityسازمان اصلی تایید شده: دانشگاه فرهنگیان (farhangian university) r. a. borzooei

shahid beheshti universityسازمان اصلی تایید شده: دانشگاه شهید بهشتی (shahid beheshti university)

چکیده

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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عنوان ژورنال:
algebraic structures and their applications

جلد ۲، شماره ۲، صفحات ۲۳-۳۶

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