Strongly Clean Matrices Over Power Series

- Journal title : Kyungpook mathematical journal
- Volume 56, Issue 2, 2016, pp.387-396
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2016.56.2.387

Title & Authors

Strongly Clean Matrices Over Power Series

Chen, Huanyin; Kose, Handan; Kurtulmaz, Yosum;

Chen, Huanyin; Kose, Handan; Kurtulmaz, Yosum;

Abstract

An matrix A over a commutative ring is strongly clean provided that it can be written as the sum of an idempotent matrix and an invertible matrix that commute. Let R be an arbitrary commutative ring, and let . We prove, in this note, that is strongly clean if and only if is strongly clean. Strongly clean matrices over quotient rings of power series are also determined.

Keywords

strongly clean matrix;characteristic polynomial;power series;

Language

English

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