{"title":"关于环同态及整数环间的一些性质","authors":"Mohammed Faisal Alrashdi","doi":"10.53555/ephijse.v9i1.194","DOIUrl":null,"url":null,"abstract":"The principle proposed in this paper is to give some solutions of Lcm(u, n) = 0 mod m and de- termine the number of ring homomorphisms from Zn to Zm as additive groups and as rings by using elementary results of number theory. We also introduce and investigate some properties of the class of ring homomorphisms from Zn to Zm.","PeriodicalId":354866,"journal":{"name":"EPH - International Journal of Science And Engineering","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ON RING HOMOMORPHISMS AND SOME PROPERTIES AMONG INTEGER RINGS\",\"authors\":\"Mohammed Faisal Alrashdi\",\"doi\":\"10.53555/ephijse.v9i1.194\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The principle proposed in this paper is to give some solutions of Lcm(u, n) = 0 mod m and de- termine the number of ring homomorphisms from Zn to Zm as additive groups and as rings by using elementary results of number theory. We also introduce and investigate some properties of the class of ring homomorphisms from Zn to Zm.\",\"PeriodicalId\":354866,\"journal\":{\"name\":\"EPH - International Journal of Science And Engineering\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-03-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"EPH - International Journal of Science And Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.53555/ephijse.v9i1.194\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"EPH - International Journal of Science And Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.53555/ephijse.v9i1.194","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
ON RING HOMOMORPHISMS AND SOME PROPERTIES AMONG INTEGER RINGS
The principle proposed in this paper is to give some solutions of Lcm(u, n) = 0 mod m and de- termine the number of ring homomorphisms from Zn to Zm as additive groups and as rings by using elementary results of number theory. We also introduce and investigate some properties of the class of ring homomorphisms from Zn to Zm.
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