ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS

ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
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DOI:
10.1070/im1977v011n02abeh001709
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发表时间:
1977-04
期刊:
Mathematics of The Ussr-izvestiya
影响因子:
--
通讯作者:
A. Suslin
A. Suslin
中科院分区:
其他
文献类型:
--
作者:
A. Suslin

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证明了域上多项式环上的特殊三次以上线性群是由初等矩阵生成的。得到了关于特殊线性群的结构和任意多项式和Laurent环上一般线性群的稳定性的其它结果。
It is proved that the special linear group of degree not less than three over the polynomial ring over a field is generated by the elementary matrices. Other results are obtained that relate to the structure of the special linear group and stabilization of the general linear group over arbitrary polynomial and Laurent rings.Bibliography: 9 titles.