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arXiv · 1912.00922

On graded nil good rings

Ismail Namrok·Hanan Choulli·Hakima Mouanis
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Abstract

In this paper we introduce and study the notion of a graded nil-good ring which is graded by a group. We investigate extensions of graded nil-good rings to graded group rings, Further, we discuss graded matrix ring extensions and trivial extensions of graded nil-good rings. Furthermore, we show that the class of graded rings which are nil-good and the class of graded nil-good rings are not comparable. Moreover, we discuss the question of when the nil-good property of the component, which corresponds to the identity element the grading group, implies that the whole graded ring is graded nil-good is also treated.

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Ismail Namrok, Hanan Choulli, Hakima Mouanis. 2019-11-28. On graded nil good rings. https://arxiv.org/abs/1912.00922

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