Is it possible ?
Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
|
1
|
|
|
|
|
8
|
Rather obviously yes. Let $A$ be the algebra over the field $K$ generated by elements $a_1,a_2,\ldots,$ with $a_i$ in dimension $i$ and with $a_ia_j=0$ for all $i$ and $j$. This is an incredibly uninteresting example, but since each graded piece is one-dimensional, its Poincare series is $\sum_{n=0}^\infty t^n=1/(1-t)$. |
|||||||||||
|
