Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
This paper is a continuation of RZhMat 1981, 7A438. Suppose R is a commutative ring generated by its group of units R* and there exist[Figure not available: see fulltext.] such that[Figure not available: see fulltext.]. Suppose also that ℑ is the Jacobson radical of R, and B(ℑ) is a subgroup of GL(n,R) consisting of the matrices a=(aij) such that aij∃ℑ for i>j. If a matrix a∃B(ℑ) is represented in the form a=udv, where u is upper unitriangular, d is diagonal, and v is lower unitriangular, then u,v∃〈D,aDa-1〉, where D=D(n,R) is the group of diagonal matrices. In particular, D is abnormal in B(ℑ)
Язык оригинала | английский |
---|---|
Страницы (с-по) | 2865-2874 |
Число страниц | 10 |
Журнал | Journal of Soviet Mathematics |
Том | 27 |
Номер выпуска | 4 |
DOI | |
Состояние | Опубликовано - ноя 1984 |
ID: 76483954