| Title: | A characterization of normal injective and normal projective hypermodules |
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| Authors: | ID Türkmen, Ergül (Author)
ID Türkmen, Burcu Nİşancl (Author)
ID Bordbar, Hashem (Author) |
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| Files: |  axioms-13-00410.pdf (277,55 KB)
MD5: 978D6758B2E32CB6D69957084CFD858A
 https://www.mdpi.com/2075-1680/13/6/410
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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: | This study is motivated by the recently published papers on normal injective and normal
projective hypermodules. We provide a new characterization of the normal injective and normal
projective hypermodules by using the splitting of the short exact sequences of hypermodules. After presenting some of their fundamental properties, we show that if a hypermodule is normal projective, then every exact sequence ending with it is splitting. Moreover, if a hypermodule is a normal injective, then every exact sequence starting with it is splitting as well. Finally, we investigate the relationships between semisimple, simple, normal injective, and normal projective hypermodules. |
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| Keywords: | short exact sequence, normal injective hypermodule, normal projective hypermodule |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 18.06.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 1-11 |
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| Numbering: | Vol. 13, issue 6, [article no.] 410 |
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| PID: | 20.500.12556/RUNG-9134  |
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| COBISS.SI-ID: | 199507459 |
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| UDC: | 51 |
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| ISSN on article: | 2075-1680 |
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| DOI: | 10.3390/axioms13060410 |
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| NUK URN: | URN:SI:UNG:REP:LECHSTCP |
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| Publication date in RUNG: | 20.06.2024 |
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| Views: | 165 |
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| Downloads: | 2 |
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