On derivations and biderivations of trivial extensions and triangular matrix rings

Document Type : Research Paper

Author

Department of Mathematics‎, ‎University of Kurdistan‎, ‎P.O‎. ‎Box 416‎, ‎Sanandaj‎, ‎Iran.

Abstract

‎Triangular matrix rings are examples of trivial extensions‎. ‎In this article we determine the structure of derivations and biderivations of the trivial extensions‎, ‎and thereby we describe the derivations and biderivations of the upper triangular matrix rings‎. ‎Some related results are also obtained‎.

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