On the S-spectrum of Krasner hypermodules

• Datum: 2026
• Hauptverfasser: Aydın, Yıldız, Nişancı Türkmen, Burcu
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8348
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.