Geodesic
On Primitive Ideals in Graded Rings
Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 460-466

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DOI

Let $R\,=\,\oplus _{i=1}^{\infty }\,{{R}_{i}}$ be a graded nil ring. It is shown that primitive ideals in $R$ are homogeneous. Let $A\,=\,\oplus _{i=1}^{\infty }\,{{A}_{i}}$ be a graded non-PI just-infinite dimensional algebra and let $I$ be a prime ideal in $A$ . It is shown that either $I\,=\,\{0\}$ or $I\,=\,A$ . Moreover, $A$ is either primitive or Jacobson radical.
DOI : 10.4153/CMB-2008-046-1
Mots-clés : 16D60, 16W50 
Smoktunowicz, Agata. On Primitive Ideals in Graded Rings. Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 460-466. doi: 10.4153/CMB-2008-046-1
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     title = {On {Primitive} {Ideals} in {Graded} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {460--466},
     year = {2008},
     volume = {51},
     number = {3},
     doi = {10.4153/CMB-2008-046-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-046-1/}
}
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