GENERATION THEOREM OF GENERAL LINEAR GROUPS OVER LOCAL RING R

【摘要】 <正> The purpose of this paper is to extend the generation theorem of the general linear group GL_n（F） over field F to the linear group GL_n（R） over local ring R. When V is an n-dimensional R-space and σ is an element in GL_n（R）, in general, Q=（σ-1）V and M={x∈V|σ_x=x} are just R-submodules of V, but not always R-subspaces. Therefore, the concept更多还原