n-Torsion clean and almost n-torsion clean matrix rings
نویسندگان
چکیده
We completely determine those natural numbers $n$ for which the full matrix ring $M_n(F_2)$ and triangular $T_n(F_2)$ over two elements field $F_2$ are either n-torsion clean or almost clean, respectively. These results somewhat address settle a question, recently posed by Danchev-Matczuk in Contemp. Math. (2019) as well they supply more precise aspect nil-cleanness property of $n\times n$ all naturals $n \geq 1$, established Linear Algebra Appl. (2013) Breaz-Calugareanu-Danchev-Micu again & (2018) Ster Indag. (2020) Shitov.
منابع مشابه
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ژورنال
عنوان ژورنال: ???????? ?????? ??????? ?????????
سال: 2021
ISSN: ['0536-1036']
DOI: https://doi.org/10.26907/0021-3446-2021-1-52-63