ǂA ǂfinite type of closure operations on BCK-algebras

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

Povzetek

In this article we study the (finite-type, cl-closed) closure operations on ideals of a BCK-algebra, with an emphasis on structural properties. Also we give several theorems that make different closure operations, especially on a quotient and Noetherian BCK-algebra. In particular, we show that the intersection and union (by imposing some additional conditions) of closure operations is a closure operation and every closure operation is a finite type on any finitely generated ideal. Moreover by given the notions of residuated quotient ideals and the meet of two ideals, we conclude some related results.

Ključne besede

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

Podatki

Jezik:	Angleški jezik
Leto izida:	2016
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UNG - Univerza v Novi Gorici
UDK:	512
COBISS:	5490171
ISSN:	2373-8944
Št. ogledov:	2107
Št. prenosov:	0
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

URN:	URN:SI:UNG
Vrsta dela (COBISS):	Delo ni kategorizirano
Strani:	str. 69-77
Letnik:	ǂVol. ǂ4
Zvezek:	ǂno. ǂ2
Čas izdaje:	2016
DOI:	10.18576/amisl/040204
ID:	11314162