Hyperbolicity of Semigroup Algebras
نویسنده
چکیده
Let A be a finite dimensional Q-algebra and Γ ⊂ A a Z-order. We classify those A with the property that Z 6 →֒U(Γ). We call this last property the hyperbolic property. We apply this in the case that A = KS a semigroup algebra with K = Q or K = Q( √ −d). In particular, when KS is semi-simple and has no nilpotent elements, we prove that S is an inverse semigroup which is the disjoint union of Higman groups and at most one cyclic group Cn with n ∈ {5, 8, 12}.
منابع مشابه
Hyperbolicity of Semigroup Algebras II
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