On the S-spectrum of Krasner hypermodules
UDC 512.5 We study S-prime hyperideals by relating them to prime hyperideals. The S-prime hyperideals are studied in the hyperfield of fractions in the Krasner hyperring. The characterization of S-prime hyperideals is determined under a strong homomorphism. With the help of strong epimorphisms, the...
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| Date: | 2026 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8348 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 512.5
We study S-prime hyperideals by relating them to prime hyperideals. The S-prime hyperideals are studied in the hyperfield of fractions in the Krasner hyperring. The characterization of S-prime hyperideals is determined under a strong homomorphism. With the help of strong epimorphisms, the conditions for one-to-one correspondence between the S-prime hyperideals in the hyperring and S-prime hyperideals in the hyperfield of fractions of these hyperrings are investigated. The concept of S-prime subhypermodules of Krasner hypermodules is introduced. In particular, the S-spectrum ${\rm Spec}_{S}$ of the S-Zariski topology is obtained, which is based on the element of S-prime subhypermodules of a class of these hypermodules. Moreover, characterizations of S-prime subhypermodules are given in the perspective of the S-spectrum. |
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| DOI: | 10.3842/umzh.v77i10.8348 |