| Title: | Hyperrings with n -ary composition hyperoperation |
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| Authors: | ID Norouzi, Morteza, University of Bojnord, Iran (Author)
ID Cristea, Irina Elena, University of Nova Gorica, Slovenia (Author) |
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| Files: |
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UNG - University of Nova Gorica
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| 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. |
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| Keywords: | n-ary hypergroup, (m, n)-hyperring, composition hyperring, n-ary composition hyperideal |
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| Publication version: | Version of Record |
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| Year of publishing: | 2017 |
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| Number of pages: | 17 |
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| Numbering: | 1 |
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| PID: | 20.500.12556/RUNG-3159-8421a5c8-878a-35ef-b05a-17911133baee |
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| COBISS.SI-ID: | 4840187 |
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| ISBN: | |
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| DOI: | 10.1142/S0219498818500226 |
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| NUK URN: | URN:SI:UNG:REP:I7TOP3OK |
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| Publication date in RUNG: | 10.07.2017 |
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| Views: | 4866 |
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| Downloads: | 0 |
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