Krasner (m, n)-Hyperring of Fractions

Authors

  • M. Anbarloei

Keywords:

n-ary prime hyperideal, n-ary multiplicative subset, Krasner (m, n)-hyperring.

Abstract

The formation of rings of fractions and the associated process of localization are the most important technical tools in commutative algebra. Krasner (m, n)-hyperrings are a generalization of (m, n)-rings. Let R be a commutative Krasner (m, n)-hyperring. The aim of this research work is to introduce the concept of hyperring of fractions generated by R and then investigate the basic properties such hyperrings.

Key words and phrases. n-ary prime hyperideal, n-ary multiplicative subset, Krasner (m, n)-hyperring.

2010 Mathematics Subject Classification. 20N20, 19Y99, 20N15

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Published

2025-05-18

How to Cite

M. Anbarloei. (2025). Krasner (m, n)-Hyperring of Fractions. Jordan Journal of Mathematics and Statistics, 16(1), 165–185. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/697

Issue

Vol. 16 No. 1 (2023)

Section

Articles