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, 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
