Hyperrings with n-ary composition hyperoperation

Morteza Norouzi (Author), Irina Cristea (Author)

Abstract

Based on the concepts of composition ring and composition hyperring, in this note we introduce the notion of $n$-ary composition hyperring and study the connections with composition hyperrings. Moreover we show that special strong multiendomorphisms of hyperrings can determine the $n$-ary composition structure of a such hyperring and also a subclass of $n$-ary composition hyperrings. Finally, the three isomorphism theorems are studied in the framework of $n$-ary composition hyperrings.

Keywords

n-ary hypergroup;(m, n)-hyperring;composition hyperring;n-ary composition hyperideal;

Data

Language:	English
Year of publishing:	2018
Typology:	1.01 - Original Scientific Article
Organization:	UNG - University of Nova Gorica
UDC:	510.3
COBISS:	4840187
ISSN:	0219-4988
Views:	3268
Downloads:	0
Average score:	0 (0 votes)
Metadata:

Other data

URN:	URN:SI:UNG
Type (COBISS):	Not categorized
Pages:	str. 1-17
Volume:	ǂVol. ǂ17
Issue:	ǂno. ǂ2
Chronology:	2018
DOI:	10.1142/S0219498818500226
ID:	10847427