{"title":"酉k1的内射稳定性,再考察","authors":"S. Sinchuk","doi":"10.1017/IS013001028JKT211","DOIUrl":null,"url":null,"abstract":"We prove the injective stability theorem for unitary K 1 under the usual stable range condition on the ground ring. This improves the stability theorem of A. Bak, V. Petrov and G. Tang where a stronger Λ-stable range condition was used.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"11 1","pages":"233-242"},"PeriodicalIF":0.0000,"publicationDate":"2013-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS013001028JKT211","citationCount":"10","resultStr":"{\"title\":\"Injective stability for unitary K 1 , revisited\",\"authors\":\"S. Sinchuk\",\"doi\":\"10.1017/IS013001028JKT211\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove the injective stability theorem for unitary K 1 under the usual stable range condition on the ground ring. This improves the stability theorem of A. Bak, V. Petrov and G. Tang where a stronger Λ-stable range condition was used.\",\"PeriodicalId\":50167,\"journal\":{\"name\":\"Journal of K-Theory\",\"volume\":\"11 1\",\"pages\":\"233-242\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1017/IS013001028JKT211\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of K-Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/IS013001028JKT211\",\"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 K-Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/IS013001028JKT211","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10
摘要
在一般的稳定范围条件下,证明了一元k1的内射稳定性定理。这改进了a . Bak, V. Petrov和G. Tang的稳定性定理,其中使用了更强的Λ-stable极差条件。
We prove the injective stability theorem for unitary K 1 under the usual stable range condition on the ground ring. This improves the stability theorem of A. Bak, V. Petrov and G. Tang where a stronger Λ-stable range condition was used.