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Integral closures, primary hyperideals and hypervaluation hyperideals of Kranser hyperrings

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Publication:6168681
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DOI10.1142/s0219498823501815zbMath1530.16050arXiv2102.04711OpenAlexW4300232214MaRDI QIDQ6168681

Reza Nikandish, Ali A. Yassine, Mohammad Javad Nikmehr

Publication date: 11 July 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.04711


zbMATH Keywords

integral closureKrasner hyperringsprimary hyperidealshypervaluation hyperideals


Mathematics Subject Classification ID

Hypergroups (20N20) Generalizations (16Y99)




Cites Work

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  • A class of hyperrings and hyperfields
  • Isomorphism theorems of hyperrings.
  • Applications of the \(\alpha^*\)-relation to Krasner hyperrings.
  • A Realization of Hyperrings
  • Polygroup Theory and Related Systems
  • A hypervaluation of a hyperfield onto a totally ordered canonical hypergroup
  • Commutative Rings Obtained from Hyperrings (Hv-rings) with α∗-Relations
  • Some results on congruences on semihypergroups




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