【摘要】 设 F是其中心域上有限生成的体。推广了 Roth W E等价定理 ,给出了 F上的矩阵方程组A1X-YB1=C1A2 X-YB2 =C2At X-YBt=Ct相容的一个充要条件更多还原

【Abstract】 Let F be a skewfield generated finitely over its center. This paper extends Roth’s equivalence theorem to a system of matrix equation over F: A 1X-YB 1=C 1 A 2X-YB 2=C 2 A tX-YB t=C t A necessity and sufficiency condition for the consistence of the above systems are giren.更多还原