Ordered Left Almost Hyperring

DOI

10.2991/assehr.k.210508.083How to use a DOI?

Keywords

Ordered Hyperstructure, Ordered LA-hyperring, Hyperideal, LA-hyperring

Abstract

In this paper, we introduce the concept of left almost hyperring (R, ⊕, ⊗) together with a partial relation order ≤ such that satisfies some conditions. This structure (R, ⊕, ⊗, ≤) is called by ordered left almsot hyperring (LA-hyperring). Further, we study some useful contiditons for ordered LA-hyperring to become an ordered hyperring. Also, we notice the notion of hyperideal, bi-hyperideal, and quasi-hyperideal of ordered LA-hyperring and their properties are investigated.

Copyright

© 2021, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - A M Muftirridha
AU  - A R Alghofari
AU  - N Hidayat
PY  - 2021
DA  - 2021/05/11
TI  - Ordered Left Almost Hyperring
BT  - Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)
PB  - Atlantis Press
SP  - 327
EP  - 332
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.210508.083
DO  - 10.2991/assehr.k.210508.083
ID  - Muftirridha2021
ER  -