Orderings and Preorderings on Semihyperrings

Dongming Huang; Xin Wang; Jinping Li

doi:https://doi.org/10.14445/22315373/IJMTT-V66I10P509

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 10 | Year 2020 | Article Id. IJMTT-V66I10P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I10P509

Orderings and Preorderings on Semihyperrings

Dongming Huang, Xin Wang, Jinping Li

Abstract

The main aim of this paper is to develop the study of semihyperrings in real algebra. By introducing the notions of semireal semihyperrings, preorderings and orderings on semihyperrings, we discuss the interplay between them. For the 0-regular semihyperrings, we establish analogous Artin-Schreier theory.

Keywords

semihyperrings, semireal semihyperrings, preorderings,orderings, 0-regular.

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Citation :

Dongming Huang, Xin Wang, Jinping Li, "Orderings and Preorderings on Semihyperrings," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 10, pp. 58-62, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I10P509