Mumtaz Ali, F. Smarandache, M. Shabir, Munazza Naz
{"title":"Soft Nuetrosophic Ring and Soft Neutrosophic Field","authors":"Mumtaz Ali, F. Smarandache, M. Shabir, Munazza Naz","doi":"10.5281/ZENODO.30325","DOIUrl":null,"url":null,"abstract":"In this paper, we extend the theory of neutrosophic rings and neutrosophic fields to soft sets and construct soft neutrosophic rings and soft neutrosophic fields. We also extend neutrosophic ideal theory to form soft neutrosophic ideal over a neutrosophic ring and soft neutrosophic ideal of a soft neutrosophic ring . We have given many examples to illustrate the theory of soft neutrosophic rings and soft neutrosophic fields and display many properties of of these. At the end of this paper, we gave soft neutrosophic ring homomorphism","PeriodicalId":46897,"journal":{"name":"Neutrosophic Sets and Systems","volume":"3 1","pages":"53-59"},"PeriodicalIF":0.0000,"publicationDate":"2014-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Neutrosophic Sets and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5281/ZENODO.30325","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: 18
Abstract
In this paper, we extend the theory of neutrosophic rings and neutrosophic fields to soft sets and construct soft neutrosophic rings and soft neutrosophic fields. We also extend neutrosophic ideal theory to form soft neutrosophic ideal over a neutrosophic ring and soft neutrosophic ideal of a soft neutrosophic ring . We have given many examples to illustrate the theory of soft neutrosophic rings and soft neutrosophic fields and display many properties of of these. At the end of this paper, we gave soft neutrosophic ring homomorphism
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.