{"title":"普通元素上的标识属性","authors":"T. Udjiani, S. Suryoto, Harjito Harjito","doi":"10.14710/jfma.v1i2.16","DOIUrl":null,"url":null,"abstract":"Abstract. One type of element in the ring with involution is normal element. Their main properties is commutative with their image by involution in ring. Group invers of element in ring is always commutative with element which is commutative with itself. In this paper, properties of normal element in ring with involution which also have generalized Moore Penrose invers are constructed by using commutative property of group invers in ring. Keywords: Normal, Moore Penrose, group, involution","PeriodicalId":359074,"journal":{"name":"Journal of Fundamental Mathematics and Applications (JFMA)","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"NORMAL ELEMENT ON IDENTIFY PROPERTIES\",\"authors\":\"T. Udjiani, S. Suryoto, Harjito Harjito\",\"doi\":\"10.14710/jfma.v1i2.16\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract. One type of element in the ring with involution is normal element. Their main properties is commutative with their image by involution in ring. Group invers of element in ring is always commutative with element which is commutative with itself. In this paper, properties of normal element in ring with involution which also have generalized Moore Penrose invers are constructed by using commutative property of group invers in ring. Keywords: Normal, Moore Penrose, group, involution\",\"PeriodicalId\":359074,\"journal\":{\"name\":\"Journal of Fundamental Mathematics and Applications (JFMA)\",\"volume\":\"25 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-11-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Fundamental Mathematics and Applications (JFMA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.14710/jfma.v1i2.16\",\"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 Fundamental Mathematics and Applications (JFMA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14710/jfma.v1i2.16","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
摘要有对合的环中的一种元素是正规元素。它们的主要性质是通过环对合与象交换。环中元素的群逆与与自身可交换的元素总是可交换的。本文利用环上群逆的交换性质,构造了具有对合环的正规元的性质,并得到了广义Moore Penrose逆。关键词:Normal, Moore Penrose, group, involution
Abstract. One type of element in the ring with involution is normal element. Their main properties is commutative with their image by involution in ring. Group invers of element in ring is always commutative with element which is commutative with itself. In this paper, properties of normal element in ring with involution which also have generalized Moore Penrose invers are constructed by using commutative property of group invers in ring. Keywords: Normal, Moore Penrose, group, involution