Article ID Journal Published Year Pages File Type
8897935 Linear Algebra and its Applications 2018 11 Pages PDF
Abstract
We prove that for every n×n 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.
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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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