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- W4288000435 abstract "We completely determine those natural numbers $n$ for which the full matrix ring $M_n(F_2)$ and the triangular matrix ring $T_n(F_2)$ over the two elements field $F_2$ are either n-torsion clean or are almost n-torsion clean, respectively. These results somewhat address and settle a question, recently posed by Danchev-Matczuk in Contemp. Math. (2019) as well as they supply in a more precise aspect the nil-cleanness property of the full matrix $ntimes n$ ring $M_n(F_2)$ for all naturals $n geq 1$, established in Linear Algebra and Appl. (2013) by Breaz-Calugareanu-Danchev-Micu and again in Linear Algebra & Appl. (2018) by Ster as well as in Indag. Math. (2020) by Shitov." @default.
- W4288000435 created "2022-07-26" @default.
- W4288000435 creator A5012544320 @default.
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- W4288000435 date "2019-12-02" @default.
- W4288000435 modified "2023-09-27" @default.
- W4288000435 title "n-torsion clean and almost n-torsion clean matrix rings" @default.
- W4288000435 doi "https://doi.org/10.48550/arxiv.1912.01104" @default.
- W4288000435 hasPublicationYear "2019" @default.
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