Semi-prime closure operations on BCK-algebra

Hashem Bordbar (Author), Mohammad Mehdi Zahedi (Author)

Abstract

In this paper we study the (good) semi-prime closure oper- ations on ideals of a BCK-algebra, lower BCK-semilattice, Noetherian BCK-algebra and meet quotient ideal and then we give several theorems that make different (good) semi-prime closure operations. Moreover, by giving some examples, we show that the given different notions are independent together, for instance, there is a semi-prime closure operation, which is not a good semi-prime. Finally by given the notion of “cf-Max X”, we prove that every member of “cf-Max X” is a prime ideal. Also, we conclude some more related results.

Keywords

BCI-algebra;BCK-algebra;closure operation;finite type closure operation;semi-prime closure operation;

Data

Language:	English
Year of publishing:	2015
Typology:	1.01 - Original Scientific Article
Organization:	UNG - University of Nova Gorica
UDC:	512
COBISS:	5490427
ISSN:	1225-1763
Views:	2115
Downloads:	0
Average score:	0 (0 votes)
Metadata:

Other data

URN:	URN:SI:UNG
Type (COBISS):	Not categorized
Pages:	str. 385-402
Volume:	ǂVol. ǂ30
Issue:	ǂno. ǂ4
Chronology:	2015
DOI:	10.4134/CKMS.2015.30.4.385
ID:	11314164