Is there a way to use SAGE to compute the index of
nilpotence of a nil ideal in an associative, noncommutative
ring? In the case I'm concerned with, the ring is a free
algebra over a finite field in three noncommuting
indeterminates modulo an ideal with generators given. The
resulting ring is artinian (in fact, a finite-dimensional
algebra), and hence has a nilpotent Jacobson radical; the
problem is to determine the smallest positive integer n
such that for every a in the Jacobson radical, a^n = 0.
Sincerely,
Greg
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| Greg Marks |
| Department of Mathematics and Computer Science |
| St. Louis University |
| St. Louis, MO 63103-2007 |
| U.S.A. |
| |
| Phone: (314)977-7206 |
| Fax: (314)977-1452 |
| Web: http://math.slu.edu/~marks |
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