| Title: | A hyperstructural approach to semisimplicity |
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| Authors: | ID Türkmen, Ergül (Author)
ID Türkmen, Burcu Nİşancl (Author)
ID Bordbar, Hashem (Author) |
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| Files: |  axioms-13-00081.pdf (328,98 KB)
MD5: E0D754228A529B7B964872CF580F117D
 https://www.mdpi.com/2075-1680/13/2/81
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| Language: | English |
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| Work type: | Unknown |
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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: | In this paper, we provide the basic properties of (semi)simple hypermodules. We show that if a hypermodule M is simple, then (End(M), ·) is a group, where End(M) is the set of all normal endomorphisms of M. We prove that every simple hypermodule is normal projective with a zero singular subhypermodule. We also show that the class of semisimple hypermodules is closed under internal direct sums, factor hypermodules, and subhypermodules. In particular, we give a characterization of internal direct sums of subhypermodules of a hypermodule. |
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| Keywords: | direct sum, simple hypermodule, semisimple hypermodule |
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| Publication date: | 01.01.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 1-16 |
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| Numbering: | Vol. 13, issue 2, [article no.] 81 |
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| PID: | 20.500.12556/RUNG-8838  |
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| COBISS.SI-ID: | 183210499 |
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| UDC: | 51 |
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| ISSN on article: | 2075-1680 |
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| DOI: | 10.3390/axioms13020081 |
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| NUK URN: | URN:SI:UNG:REP:B4IZNBI3 |
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| Publication date in RUNG: | 31.01.2024 |
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| Views: | 1658 |
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| Downloads: | 14 |
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