关于嗜中性正则超群和嗜中性超环

Q1 Mathematics

Neutrosophic Sets and Systems Pub Date : 2015-07-01 DOI:10.5281/ZENODO.22610

A. Agboola, B. Davvaz

{"title":"关于嗜中性正则超群和嗜中性超环","authors":"A. Agboola, B. Davvaz","doi":"10.5281/ZENODO.22610","DOIUrl":null,"url":null,"abstract":"A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H. The objective of this paper is to study canonical hyper- groups and hyperrings in which addition and multiplica- tion are hyperoperations in a neutrosophic environment. Some basic properties of neutrosophic canonical hyper- groups and neutrosophic hyperrings are presented. Quo- tient neutrosophic canonical hypergroups and neutro- sophic hyperrings are presented.","PeriodicalId":46897,"journal":{"name":"Neutrosophic Sets and Systems","volume":"21 1","pages":"7"},"PeriodicalIF":0.0000,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":"{\"title\":\"On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings\",\"authors\":\"A. Agboola, B. Davvaz\",\"doi\":\"10.5281/ZENODO.22610\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H. The objective of this paper is to study canonical hyper- groups and hyperrings in which addition and multiplica- tion are hyperoperations in a neutrosophic environment. Some basic properties of neutrosophic canonical hyper- groups and neutrosophic hyperrings are presented. Quo- tient neutrosophic canonical hypergroups and neutro- sophic hyperrings are presented.\",\"PeriodicalId\":46897,\"journal\":{\"name\":\"Neutrosophic Sets and Systems\",\"volume\":\"21 1\",\"pages\":\"7\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"19\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Neutrosophic Sets and Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5281/ZENODO.22610\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Neutrosophic Sets and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5281/ZENODO.22610","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 19

摘要

嗜中性超结构是由一个给定的超结构H和一个不确定因子I在H的超运算(s)下生成的代数结构。本文的目的是研究嗜中性环境中以加法和乘法为超运算的正则超群和超环。给出了嗜中性正则超群和嗜中性超环的一些基本性质。给出了中性嗜性正则超群和中性嗜性超环。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings

A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H. The objective of this paper is to study canonical hyper- groups and hyperrings in which addition and multiplica- tion are hyperoperations in a neutrosophic environment. Some basic properties of neutrosophic canonical hyper- groups and neutrosophic hyperrings are presented. Quo- tient neutrosophic canonical hypergroups and neutro- sophic hyperrings are presented.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Neutrosophic Sets and Systems COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE-

CiteScore

4.50

自引率

0.00%

发文量

审稿时长

7 weeks

期刊介绍： Neutrosophic Sets and Systems (NSS) is an academic journal, published bimonthly online and on paper, that has been created for publications of advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics etc. and their applications in any field.