Article contents
On Primitive Ideals in Graded Rings
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2008
References
- 5
- Cited by