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On the S-spectrum of Krasner hypermodules
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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.
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Title: On the S-spectrum of Krasner hypermodules
Description:
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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