| Title | Computing the additive structure of indecomposable modules over Dedekind-like rings using Gr\"obner bases. |
| Author(s) | Maria Alicia Avino, Luis David Garcia-Puente |
| Type | Article in Journal |
| Abstract | We introduce a general constructive method to find a $p$-basis (and the Ulm invariants)
of a finite Abelian $p$-group $M$. This algorithm is based on Gr\"obner bases theory.
We apply this method to determine
the additive structure of indecomposable modules over the following
Dedeking-like rings:
$\Z C_p$, where $C_p$ is the cyclic group of order a prime
$p$, and the $p-$pullback $\{\Z \rightarrow \Z_p
\leftarrow \Z \}$ of $\Z \oplus \Z$. |
| Keywords | Dedekind-like rings, chain modules, finite Abelian $p$-groups, Gr\"obner bases. |
| Length | 12 |
| File |
|
| URL |
http://arxiv.org/abs/math.AC/0603304 |
| Language | English |
| Year | 2006 |
| Note | submitted for publication |
| Edition | 0 |
| Translation |
No |
| Refereed |
Yes |
| How published | submitted |
| Organization |
Texas A&M University |
