Povzetek

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.

Ključne besede

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

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UNG - Univerza v Novi Gorici
UDK: 512
COBISS: 5490427 Povezava se bo odprla v novem oknu
ISSN: 1225-1763
Št. ogledov: 2115
Št. prenosov: 0
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

URN: URN:SI:UNG
Vrsta dela (COBISS): Delo ni kategorizirano
Strani: str. 385-402
Letnik: ǂVol. ǂ30
Zvezek: ǂno. ǂ4
Čas izdaje: 2015
DOI: 10.4134/CKMS.2015.30.4.385
ID: 11314164