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连通环上BOREL子群的自同构
引用本文:曾佑安.连通环上BOREL子群的自同构[J].湘潭大学自然科学学报,1997,19(2):7-11.
作者姓名:曾佑安
作者单位:湘潭大学数学系!湘潭,411105
摘    要:本文讨论了连通五R上Borel子群的自同构,证明了如果2,3是R的单位,根系的秩大于1,那么B(R)的任一个自同构能表示为内自同构,图自同构,环自同构的乘积。

关 键 词:Borel子群  连通环  自同构  图论

AUTOMORPHISMS OF BOREL SUBGROUPS OVER CONNECTED RINGS
Can You an.AUTOMORPHISMS OF BOREL SUBGROUPS OVER CONNECTED RINGS[J].Natural Science Journal of Xiangtan University,1997,19(2):7-11.
Authors:Can You an
Abstract:The aim of this paper is to discuss the automorphisms of a Borel subgroup B (R)over a connected ring R. It has been proved that if 2 and 3 are units of R and the rank of the root system is greater than 1, then any automorphism of B (R) can be expressed as a product of inner,graph and ring automorphisms.
Keywords:Borel subgroup  automorphisms
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