Turkish Journal of Mathematics
Abstract
Let $\mathfrak{R}$ be a ring with identity $1$ whose tripotents are only $-1$, $0$, and $1$. It is characterized the structure of tripotents in $\mathcal{T}(\mathfrak{R})$ which is the ring of triangular matrices over $\mathfrak{R}$. In addition, when $\mathfrak{R}$ is finite, it is given number of the tripotents in $\mathcal{T}_{n}( \mathfrak{R})$ which is the ring of $n\times n$ dimensional triangular matrices over $\mathfrak{R}$ with $n$ being a positive integer.
DOI
10.3906/mat-2103-109
Keywords
Tripotent matrix, triangular matrix, matrix rings
First Page
1914
Last Page
1926
Recommended Citation
PETİK, T (2021). On Characterization of Tripotent Matrices in Triangular Matrix Rings. Turkish Journal of Mathematics 45 (5): 1914-1926. https://doi.org/10.3906/mat-2103-109
