Frobenius type theorems in the noncommutative case

被引：3
作者：
Guterman, A [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Math & Mech, Dept Higher Algebra, Moscow 119899, Russia
来源：
LINEAR & MULTILINEAR ALGEBRA | 2001年 / 48卷 / 04期
关键词：
Dieudonne determinant; linear preservers; local rings;
D O I：
10.1080/03081080108818676
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The classification of semilinear transformations preserving the determinant over a noncommutative local ring is given. For local Ore domains we obtain a classification of Adjamagbo determinant preservers. The developed technique allows us to classify Dieudonne determinant preservers for division rings which may be infinite dimensional over the center.
引用
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页码：293 / 311
页数：19
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