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Rings and Modules Seminar
~ Abstracts ~

Yungang Liang, (visiting student)
81749034(at)qq(dot)com

South China Normal University

Tuesday, April 18, 2017

The explicit solutions to the matrix equation \(X^{2}AX=AXA\)
Abstract:

We construct the solutions to the matrix equation of this type, by using Groebner basis techniques. In addition to classifying all solutions for \(2\times 2\) matrices, certain explicit solutions are produced in arbitrary dimension when \(A\) is nonsingular.


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