Abstract
Let A be a finite-dimensional Q-algebra and \Gamma \subseteq A, \Gamma a Z-order. We classify those A with the property that Z^2 does not embeds in U(\Gamma) and refer to this as the hyperbolic property. We apply this in case A=KS is a semigroup algebra, with K=Q or K= Q(\sqrt{-d}). A complete classification is given when KS is semi-simple and also when S is a non-semi-simple semigroup.
| Original language | English |
|---|---|
| Pages (from-to) | 5000-5015 |
| Journal | Journal of Algebra |
| Volume | 319 |
| Issue number | 12 |
| Publication status | Published - 2008 |
Keywords
- Semigroup; Semigroup algebras; Hyperbolic groups;
- Group rings; Units