{"title":"其中每个满射自同态都有一个e-小核的模","authors":"Osama Mohammed, T. Y. Ghawi","doi":"10.31642/jokmc/2018/100118","DOIUrl":null,"url":null,"abstract":"In this paper we introduce the notion of e-gH modules which is a proper generalization of Hopfian modules and defined as, a module is called e-gH if, any surjective -endomorphism of has an e-small kernel, a ring is called e-gH if, is e-gH. We give some characterizations and properties of this modules.","PeriodicalId":115908,"journal":{"name":"Journal of Kufa for Mathematics and Computer","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Modules in which every surjective endomorphism has an e-small kernel\",\"authors\":\"Osama Mohammed, T. Y. Ghawi\",\"doi\":\"10.31642/jokmc/2018/100118\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we introduce the notion of e-gH modules which is a proper generalization of Hopfian modules and defined as, a module is called e-gH if, any surjective -endomorphism of has an e-small kernel, a ring is called e-gH if, is e-gH. We give some characterizations and properties of this modules.\",\"PeriodicalId\":115908,\"journal\":{\"name\":\"Journal of Kufa for Mathematics and Computer\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Kufa for Mathematics and Computer\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31642/jokmc/2018/100118\",\"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 Kufa for Mathematics and Computer","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31642/jokmc/2018/100118","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Modules in which every surjective endomorphism has an e-small kernel
In this paper we introduce the notion of e-gH modules which is a proper generalization of Hopfian modules and defined as, a module is called e-gH if, any surjective -endomorphism of has an e-small kernel, a ring is called e-gH if, is e-gH. We give some characterizations and properties of this modules.
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