On the Classification of Finite Semigroups and RA-loop with the Hyperbolic Property
S. O. Juriaans, A. C. Souza Filho
Abstract
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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