Zobrazeno 1 - 2
of 2
pro vyhledávání: '"Igor Z. Golubchik"'
Publikováno v:
Journal of Algebra. 500:691-708
Isomorphisms of the linear groups GL 2 ( R ) over associative rings R with 1/2 and 1/3 are considered. In particular, we give a full description of automorphisms φ : GL 2 ( R ) → GL 2 ( R ) , where R is any commutative associative ring with 1 and
Publikováno v:
Journal of Algebra. 54:42-45
(2) R is a finite ring. Indeed (see, for instance, [5]), let I R j = r < 03. Consider fi : R -+ R, i = I,2 ,..., given by fi(a) = ui for all a E R. We have no more than F-I distinct maps fi . So fit = fi for some I < K. Thus ux= a2 for all a E R and