| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4975102 | Journal of the Franklin Institute | 2016 | 7 Pages |
Abstract
In 1994, Wimmer showed the necessary and sufficient conditions for solvability of AXâXâB=C by means of Roth׳s criterion. It was shown that the equation over complex fields can be solved if and only if certain block matrices built from A, B and C are congruent. In this paper we extend the result to commutative rings with 2 invertible and show that it also holds for finite sets of matrices over a commutative ring with 2 invertible. We also discuss the solvability of XâAXTB=C over commutative rings with 2 invertible.
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Physical Sciences and Engineering
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Authors
Sheng Chen, Yunbo Tian,