Geodesic
On Graded $2$-Nil-Good Rings
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 4, p. 513 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
@article{KJM_2019_43_4_a1,
     author = {Emil Ili\'c-Georgijevi\'c},
     title = {On {Graded} $2${-Nil-Good} {Rings}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {513 },
     year = {2019},
     volume = {43},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2019_43_4_a1/}
}
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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/