Torsion elements and torsionable hypermodules

Povzetek

This article is motivated by the recently published studies on divisible hypermodules and falls in the area of hypercompositional algebra. In particular, it focuses on the torsion elements in Krasner hypermodules. First, we define the concept of a torsion element over a hypermodule, and based on it, we introduce a new class of hypermodules, namely the torsionable hypermodule. After investigating some of their fundamental properties, we will show that the class of torsionable hypermodules is a subclass of the class of divisible hypermodules. Finally, we present the relationships between divisible, torsionable, and normal injective hypermodules.

Ključne besede

hypermodules;zero divisors;torsion elements;torsionable hypermodules;normal injective hypermodules;

Podatki

Jezik:	Angleški jezik
Leto izida:	2023
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UNG - Univerza v Novi Gorici
UDK:	51
COBISS:	170705923
ISSN:	2227-7390
Št. ogledov:	282
Št. prenosov:	2
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Delo ni kategorizirano
Strani:	str. 1-11
Letnik:	ǂVol. ǂ11
Zvezek:	ǂissue ǂ21, [article no.] 4525
Čas izdaje:	2023
DOI:	10.3390/math11214525
ID:	21815728