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On Characterization of Tripotent Matrices in Triangular Matrix Rings

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Let R be a ring with identity 1 whose tripotents are only −1 , 0 , and 1 . It is characterized the structure of tripotents in T (R) which… Click to show full abstract

Let R be a ring with identity 1 whose tripotents are only −1 , 0 , and 1 . It is characterized the structure of tripotents in T (R) which is the ring of triangular matrices over R . In addition, when R is finite, it is given number of the tripotents in Tn(R) which is the ring of n × n dimensional triangular matrices over R with n being a positive integer.

Keywords: triangular matrix; tripotent matrices; characterization tripotent; matrices triangular; matrix rings

Journal Title: TURKISH JOURNAL OF MATHEMATICS
Year Published: 2021

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