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<p>In this study, we give topological properties of open subsets of Zariski topology on the prime spectrum of S by using fundamental features of a commutative Krasner hyperring S. We obtain some algebraic conditions for open subsets of Zariski topology to become quasi-compact, dense and irreducible. Then we obtain a characterization for the radical of a hyperideal in commutative Krasner hyperring S.</p>

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Zariski subhyperspace topology on hyperideals

  • 期刊论文

  • 发表日期：

    2025年6月26日

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  • N. M. Polat Öz,
  • B. Nişancı Türkmen

摘要

In this study, we give topological properties of open subsets of Zariski topology on the prime spectrum of S by using fundamental features of a commutative Krasner hyperring S. We obtain some algebraic conditions for open subsets of Zariski topology to become quasi-compact, dense and irreducible. Then we obtain a characterization for the radical of a hyperideal in commutative Krasner hyperring S.