Products of commutators of transvections over local rings

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• 作者：Zheng ; Baodong ; You ; Hong
• 关键词：20G15 ; Commutator ; Transvection ; Local ring
• 刊名：Linear Algebra and its Applications
• 出版年：2002
• 期刊代码：38_00243795
• 类别：mt
• 出版时间：December 15, 2002
• 卷：357
• 期：1-3
• 页码：45-57
• 文件大小：91.9 K

摘要

Let R be a commutative local ring, and M the maximal ideal of R. We prove that if |R/M|>3, then every matrix in SL_nR (n≥2) is a product of at most [n/2]+2 commutators of transvections and the length [resA/2]+2 cannot be reduced for n=2.