{"title":"3环和4环精整数可逆丢番图方程的猜想","authors":"O. V. Shtawzen","doi":"10.54216/jnfs.030203","DOIUrl":null,"url":null,"abstract":"The objective of this paper is to suggest two new conjectures concerning the invertible elements in 3-cyclic, and 4-cyclic refined neutrosophic rings of integers, where the invertibility condition shows that the solution of some Diophantine equations may determine the classification of the group of units of these algebraic rings.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"130 6","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Conjectures for Invertible Diophantine Equations Of 3-Cyclic and 4-Cyclic Refined Integers\",\"authors\":\"O. V. Shtawzen\",\"doi\":\"10.54216/jnfs.030203\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The objective of this paper is to suggest two new conjectures concerning the invertible elements in 3-cyclic, and 4-cyclic refined neutrosophic rings of integers, where the invertibility condition shows that the solution of some Diophantine equations may determine the classification of the group of units of these algebraic rings.\",\"PeriodicalId\":438286,\"journal\":{\"name\":\"Journal of Neutrosophic and Fuzzy Systems\",\"volume\":\"130 6\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Neutrosophic and Fuzzy Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54216/jnfs.030203\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Neutrosophic and Fuzzy Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54216/jnfs.030203","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Conjectures for Invertible Diophantine Equations Of 3-Cyclic and 4-Cyclic Refined Integers
The objective of this paper is to suggest two new conjectures concerning the invertible elements in 3-cyclic, and 4-cyclic refined neutrosophic rings of integers, where the invertibility condition shows that the solution of some Diophantine equations may determine the classification of the group of units of these algebraic rings.