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

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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     author = {Emil Ili\'c-Georgijevi\'c},
     title = {On {Graded} $2${-Nil-Good} {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/