| Naslov: | A hyperstructural approach to semisimplicity |
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| Avtorji: | ID Türkmen, Ergül (Avtor)
ID Türkmen, Burcu Nİşancl (Avtor)
ID Bordbar, Hashem (Avtor) |
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| Datoteke: |  axioms-13-00081.pdf (328,98 KB)
MD5: E0D754228A529B7B964872CF580F117D
 https://www.mdpi.com/2075-1680/13/2/81
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Neznano |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | UNG - Univerza v Novi Gorici
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| Opis: | 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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| Ključne besede: | direct sum, simple hypermodule, semisimple hypermodule |
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| Datum objave: | 01.01.2024 |
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| Leto izida: | 2024 |
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| Št. strani: | str. 1-16 |
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| Številčenje: | 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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| UDK: | 51 |
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| ISSN pri članku: | 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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| Datum objave v RUNG: | 31.01.2024 |
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| Število ogledov: | 416 |
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| Število prenosov: | 4 |
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| Metapodatki: |     |
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