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Solvability conditions for mixed Sylvester equations in rings. (English) Zbl 1499.15047

Summary: This paper has been motivated by Q.-W. Wang and Z.-H. He [Automatica 49, No. 9, 2713–2719 (2013; Zbl 1364.15011)] in which the authors consider some solvability conditions for mixed Sylvester matrix equations. The paper also considers the same problem in the setting of a regular ring. Using the purely algebraic technique, we present some necessary and sufficient conditions for the solvability to mixed Sylvester equations in rings.

MSC:

15A24 Matrix equations and identities
15B33 Matrices over special rings (quaternions, finite fields, etc.)

Citations:

Zbl 1364.15011
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References:

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