{"title":"Ordered Left Almost Hyperring","authors":"A. M. Muftirridha, A. Alghofari, N. Hidayat","doi":"10.2991/ASSEHR.K.210508.083","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the concept of left almost hyperring together with a partial relation order such that satisfies some conditions. This structure 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.","PeriodicalId":251100,"journal":{"name":"Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2991/ASSEHR.K.210508.083","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper, we introduce the concept of left almost hyperring together with a partial relation order such that satisfies some conditions. This structure 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.
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