Let Ω be a finite dimensional central algebra and chart Ω≠2 .The matrix equation AXB-CXD=E over Ω is considered.Necessary and sufficient conditions for the existence of centro(skew)symmetric solutions of the matrix equation are given.As a particular case ,the matrix equation X-AXB=C over Ω is also considered.
With one exception, the holomorph of a finite dimensional abelian connectedalgebraic group is shown to be a complete generalized algebraic group. This result on algebraic group is an analogy to that on Lie algebra.
在这份报纸，我们在 K 介绍一个多项式序列[x ] ，在哪个二个邻居多项式满足一个奇妙的性质。用那，我们给一个开的问题的部分答案：如果(x， y， z )=(f (x， y ) ， g (x， y， z ) ， z ) ，它把每个线性坐标送到一个坐标，那么是 K 的自守[x， y， z ] 。作为一个副产品，我们给著名 Jung 的定理的一个容易的证明。
