Hypervaluations on ternary semihyperrings

Authors

  • Sumana Pal Aliah University - Department of Mathematics and Statistics
  • Jayasri Sircar Lady Brabourne College - Department of Mathematics
  • Pinki Mondal Birla Institute of Technology

Keywords:

ternary hypervaluation, ternary semihyperring, ternary semihyperring homomorphism

Abstract

This article aims to present the concept of hypervaluation on a commutative ternary semihyperring mapped onto an ordered abelian group. It examines various properties of hyperideals within the ternary semihyperring that correspond to the valuation map. Additionally, the article explores results which are similar to those found in classical valuation rings, but within the framework of hypervalued ternary semihyperrings.

Cover of n°53 Italian Journal of Pure and Applied Mathematics

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Published

2025-05-19

How to Cite

Pal, S., Sircar, J., & Mondal, P. (2025). Hypervaluations on ternary semihyperrings. Italian Journal of Pure and Applied Mathematics, 53, 138–150. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5758

Issue

N°53 - May 2025

Section

Articoli - Forum Editrice

License

Copyright (c) 2025 Sumana Pal, Jayasri Sircar, Pinki Mondal

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)