Article Title

On Characterization of Tripotent Matrices in Triangular Matrix Rings

Authors

TUĞBA PETİK

DOI

10.3906/mat-2103-109

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.

Keywords

Tripotent matrix, triangular matrix, matrix rings

First Page

1914

Last Page

1926

Recommended Citation

PETİK, TUĞBA (2021) "On Characterization of Tripotent Matrices in Triangular Matrix Rings," Turkish Journal of Mathematics: Vol. 45: No. 5, Article 3. https://doi.org/10.3906/mat-2103-109
Available at: https://journals.tubitak.gov.tr/math/vol45/iss5/3