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• W3163427720 abstract "We prove that any square nilpotent matrix over a field is a difference of two idempotent matrices as well as that any square matrix over an algebraically closed field is a sum of a nilpotent square-zero matrix and a diagonalizable matrix. We further apply these two assertions to a variation of π-regular rings. These results somewhat improve on establishments due to Breaz from Linear Algebra & amp; Appl. (2018) and Abyzov from Siberian Math. J. (2019) as well as they also refine two recent achievements due to the present author, published in Vest. St. Petersburg Univ. - Ser. Math., Mech. & amp; Astr. (2019) and Chebyshevskii Sb. (2019), respectively." @default.
• W3163427720 created "2021-05-24" @default.
• W3163427720 creator A5012544320 @default.
• W3163427720 date "2021-01-24" @default.
• W3163427720 modified "2023-10-13" @default.
• W3163427720 title "Certain Properties of Square Matrices over Fields with Applications to Rings" @default.
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• W3163427720 doi "https://doi.org/10.15446/recolma.v54n2.93833" @default.
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