Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)

Ordered Left Almost Hyperring

Authors
A M Muftirridha, A R Alghofari, N Hidayat
Corresponding Author
A M Muftirridha
Available Online 11 May 2021.
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/).

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Volume Title
Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
11 May 2021
ISBN
10.2991/assehr.k.210508.083
ISSN
2352-5398
DOI
10.2991/assehr.k.210508.083How to use a DOI?
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/).

Cite this article

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  -