DOI

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 оригиналаанглийский
Страницы (с-по)2865-2874
Число страниц10
ЖурналJournal of Soviet Mathematics
Том27
Номер выпуска4
DOI
СостояниеОпубликовано - ноя 1984

    Предметные области Scopus

  • Теория вероятности и статистика
  • Математика (все)
  • Прикладная математика

ID: 76483954