Quotient structures of BCK/BCI-algebras induced by quasi-valuation maps

Seok-Zun Song (Avtor), Hashem Bordbar (Avtor), Young Bae Jun (Avtor)

Povzetek

Relations between I-quasi-valuation maps and ideals in BCK/BCI -algebras are investigated. Using the notion of an I-quasi-valuation map of a BCK/BCI-algebra, the quasi-metric space is induced, and several properties are investigated. Relations between the I-quasi-valuation map and the I-valuation map are considered, and conditions for an I-quasi-valuation map to be an I-valuation map are provided. A congruence relation is introduced by using the I-valuation map, and then the quotient structures are established and related properties are investigated. Isomorphic quotient BCK/BCI-algebras are discussed.

Ključne besede

ideal;I-quasi-valuation map;I-valuation map;quasi-metric;

Podatki

Jezik:	Angleški jezik
Leto izida:	2018
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UNG - Univerza v Novi Gorici
UDK:	51
COBISS:	5491451
ISSN:	2075-1680
Št. ogledov:	2101
Št. prenosov:	0
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

URN:	URN:SI:UNG
Vrsta dela (COBISS):	Delo ni kategorizirano
Strani:	str. 1-11
Letnik:	ǂVol. ǂ7
Zvezek:	ǂiss. ǂ2
Čas izdaje:	2018
DOI:	10.3390/axioms7020026
ID:	11314169