Is tame open?
Representation Theory
2007-05-23 v2 Rings and Algebras
Abstract
Is tame open? No answer so far. One may pose the Tame-Open Conjecture: Tame is open. But how to support it? No effective way to date. In this note, the rank of a wild algebra is introduced. The Wild-Rank Conjecture, which implies the Tame-Open Conjecture, is formulated. The Wild-Rank Conjecture is improved to the Basic-Wild-Rank Conjecture. A covering criterion on the rank of a basic wild algebra is given, which can be effectively applied to verify the Basic-Wild-Rank Conjecture for concrete algebras. It makes all conjectures much reliable.
Cite
@article{arxiv.math/0403087,
title = {Is tame open?},
author = {Yang Han},
journal= {arXiv preprint arXiv:math/0403087},
year = {2007}
}
Comments
10 pages