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Original Articles

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

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Pages 225-232 | Published online: 30 May 2007

References

  • Baksalary , J. K. and Kala , R. 1980 . The matrix eqauation AXB+ CYD= E . Linear Algebra Appl. , 30 : 141 – 147 .
  • Ülent Özgüler , A. B. 1991 . The equation AXB+ CYD= Eover a principal ideal domain . SIAM. J. Matrix Anal. Appl. , 12 : 581 – 591 .
  • Roth , W. E. 1952 . The equations AX− YB= Cand AX− XB= Cin matrices . Proc. Amer. Math. Soc. , :3 : 392 – 396 .
  • Baksalary , J. K. 1979 . Linear Algebra Appl. , 25 : 41 – 43 .
  • Gustafson , William H. 1979 . Roth's theorems over commutative rings . Linear Algebra Appl. , 23 : 245 – 251 .
  • Huylebrouck , D. , Puystjens , R. and Van Geel , J. 1984 . The Moore-Penrose inverse of a matrix over a semi-simple Artinian ring . Linear and Multilinear Algebra , 16 : 239 – 246 .
  • Hungerford , T. W. 1980 . Algebra , New York : Spring-Verlag .
  • Jacobson , N. 1953 . “ Lectures in Abstract Algebra II ” . In Linear Algebra , New York : Van Nostrand .

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