中心代数上的矩阵方程组(英文)

Systems of Matrix Equations over a Central Algebra

英文关键词:central algebra  system of matrix equations  per（skew）selfconjugate ma-trix  regular matrix quadruple.

中文摘要:

      设Ω是一个特征非2的具有对合反自同构的有限维中心代数.本文研究Ω上的两个矩阵方程组,分别给出了其有一般解和次(斜)自共轭解的充要条件.

英文摘要:

      Let Ω be a finite dimensional central algebra with an involutorial anti-automorphism and chart Ω≠2.Two systems of matrix equations over Ω are consid-ered.Necessary and sufficient conditions for the existences of general solutions,andper(skew)selfconjugate solutions of the systems are given,respectively.