Geodesic
On Graded $2$-Nil-Good Rings
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 4, p. 513 .

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In this paper we introduce and study the notion of a graded $2$-nil-good ring which is graded by a group. We discuss graded group ring and graded matrix ring extensions of graded $2$-nil-good rings. The question of when the $2$-nil-good property of the component, which corresponds to the identity element of the grading group, implies the graded $2$-nil-good property of the whole graded ring is also examined.
Classification : 16W50 16U99, 16S34, 16S50
Keywords: Graded rings and modules, $2$-nil-good rings, group rings, matrix rings 
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Emil Ilić-Georgijević. On Graded $2$-Nil-Good Rings. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 4, p. 513 . http://geodesic.mathdoc.fr/item/KJM_2019_43_4_a1/