Is tame open?

Details Is tame open? Is tame open?

2004-03-04

arxiv.org/abs/math/0403087v2

Journal of Algebra 284(2005), 801-810

Mathematics

Representation Theory

10 pages

Scientific paper

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.

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