{"title":"自由阿贝尔群与模的自同构和","authors":"C. Meehan","doi":"10.3318/PRIA.2004.104.1.59","DOIUrl":null,"url":null,"abstract":"We consider endomorphisms of M, a free R-module of arbitrary rank, where R is an associative unital ring with the property that every element of R is a sum of two units of R. We prove that every endomorphism of M is a sum of two automorphisms of M.","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"SUMS OF AUTOMORPHISMS OF FREE ABELIAN GROUPS AND MODULES\",\"authors\":\"C. Meehan\",\"doi\":\"10.3318/PRIA.2004.104.1.59\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider endomorphisms of M, a free R-module of arbitrary rank, where R is an associative unital ring with the property that every element of R is a sum of two units of R. We prove that every endomorphism of M is a sum of two automorphisms of M.\",\"PeriodicalId\":434988,\"journal\":{\"name\":\"Mathematical Proceedings of the Royal Irish Academy\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Proceedings of the Royal Irish Academy\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3318/PRIA.2004.104.1.59\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Proceedings of the Royal Irish Academy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3318/PRIA.2004.104.1.59","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
SUMS OF AUTOMORPHISMS OF FREE ABELIAN GROUPS AND MODULES
We consider endomorphisms of M, a free R-module of arbitrary rank, where R is an associative unital ring with the property that every element of R is a sum of two units of R. We prove that every endomorphism of M is a sum of two automorphisms of M.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
