|
|||||
|
|
On Serre's Problem for RIT Algebras |
|
| Abstract: | Abstract We construct a counterexample to Serre's problem for over a RIT algebra, which is a noncommutative quadratic algebra, given by quadratic relations, more general than the relations of the Weyl algebra and of a universal enveloping of finite dimensional Lie algebra. |
| Keywords: | Serre's problem Stably free modules Ore extension Faithfully flat modules Normal words modulo ideal Uniform dimension Lifting of the nontrivial stably free ideal |