On the Classification of Finite Semigroups and RA-loop with the Hyperbolic Property

A.C. Souza Filho; S.O. Juriaans

arxiv: math/0610701 · v2 · submitted 2006-10-23 · 🧮 math.RA · math.GM

On the Classification of Finite Semigroups and RA-loop with the Hyperbolic Property

S.O. Juriaans , A.C. Souza Filho This is my paper

classification 🧮 math.RA math.GM

keywords classifyfinitehyperbolicsemigroupsunitabelianclassificationcontain

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We classify the finite semigroups S, for which all the Z-orders O of the rational Q-algebra QS, is such that the unit group U(O) is hyperbolic. We also classify the RA-loops L, for which the unit loop U(ZL) does not contain any free abelian subgroup of rank two.

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On the Classification of Finite Semigroups and RA-loop with the Hyperbolic Property

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