{"title":"关于Stein代数的Bass稳定秩","authors":"A. Brudnyi","doi":"10.4171/PRIMS/*","DOIUrl":null,"url":null,"abstract":"We compute the Bass stable rank of the ring $\\Gamma(X,\\mathcal O_X)$ of global sections of the structure sheaf $\\mathcal O_X$ on a finite-dimensional Stein space $(X,\\mathcal O_X)$ and then apply this result to the problem of the factorization of invertible holomorphic matrices on $X$.","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2018-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"On the Bass Stable Rank of Stein Algebras\",\"authors\":\"A. Brudnyi\",\"doi\":\"10.4171/PRIMS/*\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We compute the Bass stable rank of the ring $\\\\Gamma(X,\\\\mathcal O_X)$ of global sections of the structure sheaf $\\\\mathcal O_X$ on a finite-dimensional Stein space $(X,\\\\mathcal O_X)$ and then apply this result to the problem of the factorization of invertible holomorphic matrices on $X$.\",\"PeriodicalId\":54528,\"journal\":{\"name\":\"Publications of the Research Institute for Mathematical Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2018-03-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Publications of the Research Institute for Mathematical Sciences\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4171/PRIMS/*\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Publications of the Research Institute for Mathematical Sciences","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4171/PRIMS/*","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
We compute the Bass stable rank of the ring $\Gamma(X,\mathcal O_X)$ of global sections of the structure sheaf $\mathcal O_X$ on a finite-dimensional Stein space $(X,\mathcal O_X)$ and then apply this result to the problem of the factorization of invertible holomorphic matrices on $X$.
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The aim of the Publications of the Research Institute for Mathematical Sciences (PRIMS) is to publish original research papers in the mathematical sciences.
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