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The matrix equation AXB+CYD=Eover a simple artinian ring
Authors:Huang Liping  Zeng Qingguang
Institution:  a Department of Basic Sciences, Xiangtan Mining Institute, Xiangtan, P.R. China
Abstract: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.
Keywords:Simple Artinian ring  g-inverse  matrix equation over a ring  matrix over a division rings
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