IJPAM: Volume 13, No. 2 (2004)

INTERSECTION PRESERVING AND GLOBAL
EXPANSIONS OF IDEALS IN $BCK$-ALGEBRAS

Young Bae Jun$^1$, Hee Sik Kim$^2$
$^1$Department of Mathematical Education
Gyeongsang National University
Chinju 660-701, KOREA
e-mail: ybjun@nongae.gsnu.ac.kr
$^2$Department of Mathematics
Han-Yang University
Seoul 133-791, KOREA
e-mail: heekim@hanyang.ac.kr


Abstract.We introduce the notions of intersection preserving and global expansion of ideals in commutative $BCK$-algebras. We show that the homomorphic image and the inverse image of $\sigma$-primary ideal are the also $\sigma$-primary.

Received: January 2, 2004

AMS Subject Classification: 06F35, 03G25

Key Words and Phrases: intersection preserving, global expansion of ideals, $\sigma$-primary ideal, $BCK$-algebras

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 13
Issue: 2