{"title":"近环模的完全等价理想","authors":"F. Taşdemir","doi":"10.7212/zkufbd.v8i1.816","DOIUrl":null,"url":null,"abstract":"In this study, the concept of completely equiprime N-ideal (ideal of near-ring modules) is introduced. Also the interconnections of completely equiprime, equiprime and completely prime N-ideals are considered. It is proved that if P is a completely equiprime ideal of an N-group (near-ring module) Γ , then (P: Γ ) is a completely equiprime ideal of a near-ring N. The converse relation does not hold in general, however we provide some additional conditions for the converse to be true. The connection between the concepts of completely equiprime N-ideal and IFP N-ideal is also observed.","PeriodicalId":17742,"journal":{"name":"Karaelmas Science and Engineering Journal","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Completely Equiprime Ideals of Near-Ring Modules\",\"authors\":\"F. Taşdemir\",\"doi\":\"10.7212/zkufbd.v8i1.816\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, the concept of completely equiprime N-ideal (ideal of near-ring modules) is introduced. Also the interconnections of completely equiprime, equiprime and completely prime N-ideals are considered. It is proved that if P is a completely equiprime ideal of an N-group (near-ring module) Γ , then (P: Γ ) is a completely equiprime ideal of a near-ring N. The converse relation does not hold in general, however we provide some additional conditions for the converse to be true. The connection between the concepts of completely equiprime N-ideal and IFP N-ideal is also observed.\",\"PeriodicalId\":17742,\"journal\":{\"name\":\"Karaelmas Science and Engineering Journal\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Karaelmas Science and Engineering Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7212/zkufbd.v8i1.816\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Karaelmas Science and Engineering Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7212/zkufbd.v8i1.816","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文引入了完全等素数n理想(近环模的理想)的概念。同时考虑了完全等素数、等素数和完全素数n理想的相互联系。证明了如果P是n群(近环模)的完全等素理想Γ，则(P: Γ)是近环n的完全等素理想。逆关系一般不成立，但我们提供了一些附加条件使逆成立。我们还观察到完全等素数n -理想和IFP n -理想的概念之间的联系。
In this study, the concept of completely equiprime N-ideal (ideal of near-ring modules) is introduced. Also the interconnections of completely equiprime, equiprime and completely prime N-ideals are considered. It is proved that if P is a completely equiprime ideal of an N-group (near-ring module) Γ , then (P: Γ ) is a completely equiprime ideal of a near-ring N. The converse relation does not hold in general, however we provide some additional conditions for the converse to be true. The connection between the concepts of completely equiprime N-ideal and IFP N-ideal is also observed.
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