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arXiv · 2311.11115

On graded NR-clean rings

Ismail Namrok
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Abstract

This paper presents an extension of the concept of NR-clean introduced in [12] to graded ring theory. We define and explore graded NR-clean rings, which generalize the class of graded U-nil clean previously studied in [15]. We provide examples and basic properties of such rings, and investigate their extensions to including matrix rings, group rings, as well as trivial ring extensions.

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Ismail Namrok. 2023-11-18. On graded NR-clean rings. https://arxiv.org/abs/2311.11115

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