On graded nil good rings
Rings and Algebras
2020-04-20 v2
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.
Cite
@article{arxiv.1912.00922,
title = {On graded nil good rings},
author = {Ismail Namrok and Hanan Choulli and Hakima Mouanis},
journal= {arXiv preprint arXiv:1912.00922},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1904.02376 by other authors