| Title: | Categorical approach of normal injective and torsionable hypermodules |
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| Authors: | ID Bordbar, Hashem (Author) |
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| Files: |
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| Language: | English |
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| Work type: | Unknown |
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| Typology: | 1.12 - Published Scientific Conference Contribution Abstract |
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| Organization: | UNG - University of Nova Gorica
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| Abstract: | Inspired by the characterization of injective objects in category theory,
our main purpose in this research is to investigate the relationships of di-
visible and injective hypermodules with torsion elements and torsionable
hypermodules with a category approach. These days, it is extremely
tempt- ing to do the research in an Abelian category, so we discuss these
topics in an Abelian category. For a Krasner R-hypermodule M, we ex-
tend the definition of a zero-divisor element of R to a zero-divisor ele-
ment of R over M, and then the definition of divisible R-hypermodule is
introduced. Be- sides, the torsion element and torsionable hypermodule
are introduced and we show that every torsionable R-hypermodule M is a
normal injective, where R is a commutative hyperring. |
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| Keywords: | hypermodules, hyperrings, normal injective, normal projective |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2024 |
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| Number of pages: | Str. [2] |
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| PID: | 20.500.12556/RUNG-9131 |
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| COBISS.SI-ID: | 199205379 |
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| UDC: | 51 |
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| NUK URN: | URN:SI:UNG:REP:TMRIH8QI |
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| Publication date in RUNG: | 18.06.2024 |
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| Views: | 916 |
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| Downloads: | 0 |
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