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Biderivations on tensor products of algebras

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ABSTRACT Let A be a noncommutative unital prime algebra and let S be a commutative unital algebra over a field ????. We describe the form of biderivations of the algebra… Click to show full abstract

ABSTRACT Let A be a noncommutative unital prime algebra and let S be a commutative unital algebra over a field ????. 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: tensor products; products algebras; biderivations tensor

Journal Title: Communications in Algebra
Year Published: 2018

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