m-NIL-CLEAN COMPANION MATRICES

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Nil-clean Companion Matrices

The classes of clean and nil-clean rings are closed with respect standard constructions as direct products and (triangular) matrix rings, cf. [12] resp. [4], while the classes of weakly (nil-)clean rings are not closed under these constructions. Moreover, while all matrix rings over fields are clean, [12] when we consider nil-clean rings there are strongly restrictions: if a matrix ring over a ...

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ژورنال

عنوان ژورنال: The Electronic Journal of Linear Algebra

سال: 2019

ISSN: 1081-3810

DOI: 10.13001/ela.2019.4937