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Biderivations on tensor products of algebras
Authors:Daniel Eremita
Institution:Department of Mathematics and Computer Science, FNM, University of Maribor, Maribor, Slovenia
Abstract:Let A be a noncommutative unital prime algebra and let S be a commutative unital algebra over a field 𝔽. We describe the form of biderivations of the algebra A?S. As an application, we determine the form of commuting linear maps of A?S.
Keywords:Biderivation  commuting linear map  derivation  tensor product of algebras
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