论文信息 - The matrix equation AXB+CYD=Eover a simple artinian ring

The matrix equation AXB+CYD=Eover a simple artinian ring

This paper discussed the matrix equation AXB+CYD=Eover a simple Artinian ring, obtains several necessary and sufficient conditions for existence of a solution, gives the representation of solution by g-inverses, and extends a theorem of W.E. Roth's simple Artinian rings.

Huang Liping | Zeng Qingguang

[1] W. Gustafson,et al. Roth's theorems over commutative rings , 1979 .

[2] N. Jacobson. Lectures In Abstract Algebra , 1951 .

[3] J. K. Baksalary,et al. The matrix equation AXB+CYD=E , 1980 .

[4] A. B. Ögüler. The equation AXB+CYD = E over a principal ideal domain , 1991 .

[5] Dirk Huylebrouck,et al. The moore-penrose inverse of a matrix over a semi-simpie artinian ring , 1984 .

[6] R. Kala,et al. The Matrix Equation AX - YB = C , 1979 .