Primeness of relative annihilators in BCK-algebra

Hashem Bordbar (Avtor), G. Muhiuddin (Avtor), Abdulaziz M. Alanazi (Avtor)

Povzetek

Conditions that are necessary for the relative annihilator in lower BCK-semilattices to be a prime ideal are discussed. Given the minimal prime decomposition of an ideal A, a condition for any prime ideal to be one of the minimal prime factors of A is provided. Homomorphic image and pre-image of the minimal prime decomposition of an ideal are considered. Using a semi-prime closure operation “cl”, we show that every minimal prime factor of a cl-closed ideal A is also cl-closed.

Ključne besede

lower BCK-semilattice;relative annihilators;semi-prime closure operation;minimal prime decomposition;minimal prime factor;

Podatki

Jezik:	Angleški jezik
Leto izida:	2020
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UNG - Univerza v Novi Gorici
UDK:	51
COBISS:	5574395
ISSN:	2073-8994
Matična publikacija:	Symmetry
Št. ogledov:	2084
Št. prenosov:	0
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarni naslov:	Primeness of Relative Annihilators in BCK-Algebra
URN:	URN:SI:UNG
Vrsta dela (COBISS):	Delo ni kategorizirano
Strani:	str. 1-11
Letnik:	ǂVol. ǂ12
Zvezek:	ǂiss. ǂ2
Čas izdaje:	2020
DOI:	10.3390/sym12020286
ID:	11416037