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- W2762209566 abstract "While units in any unital ring are strongly clean by denition, which units are uniquely clean, is a far from being simple question, even in particular rings. In this paper, the question is solved for 2 2 integral matrices. It turns out that uniquely clean invertible matrices are scarce: only the matrices similar to [1 0; 0 -1]. The study is splitted into three cases: the elliptic, the parabolic and the hyperbolic cases, according to the discriminant of their characteristic polynomial. In the rst two cases, units are not uniquely clean." @default.
- W2762209566 created "2017-10-20" @default.
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- W2762209566 date "2017-09-30" @default.
- W2762209566 modified "2023-10-17" @default.
- W2762209566 title "Uniquely clean 2×2 invertible integral matrices" @default.
- W2762209566 doi "https://doi.org/10.24193/subbmath.2017.3.02" @default.
- W2762209566 hasPublicationYear "2017" @default.
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