Spectral hyperspaces of Krasner hyperrings
Amartya Goswami
TL;DR
This paper proves that the hyperspaces of proper hyperideals in Krasner hyperrings possess spectral space properties, extending the understanding of their topological structure.
Contribution
It establishes that hyperspaces of proper hyperideals in Krasner hyperrings are spectral, a novel topological characterization in hyperring theory.
Findings
Hyperspaces of proper hyperideals are spectral spaces.
Provides new insights into the topology of Krasner hyperrings.
Extends spectral space theory to hyperring structures.
Abstract
The purpose of this note is to prove that the hyperspaces of proper hyperideals of Krasner hyperrings are spectral.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Advanced Algebra and Logic · Rough Sets and Fuzzy Logic