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  • On expressing matrices over...
    Šter, Janez

    Linear algebra and its applications, 05/2018, Letnik: 544
    Journal Article

    We prove that for every matrix A over the field ℤ2 there exists an idempotent matrix E such that (A- E)4 = 0. This result, strengthening the result of Breaz, Călugăreanu, Danchev and Micu, allows us to construct a nil-clean ring that is not strongly π-regular, which answers an open question of Diesl.