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Title:Hyperrings with n -ary composition hyperoperation
Authors:Norouzi, Morteza (Author)
Cristea, Irina (Author)
Files:This document has no files. This document may have a phisical copy in the library of the organization, check the status via COBISS. Link is opened in a new window
Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
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
Year of publishing:2017
Number of pages:17
COBISS_ID:4840187 Link is opened in a new window
DOI:10.1142/S0219498818500226 Link is opened in a new window
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Record is a part of a journal

Title:Journal of Algebra and Its Applications
Shortened title:J. Algebra Appl.
Publisher:World Scientific
Year of publishing:2017