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

Mathematics – Rings and Algebras

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5 pages; this is part of the second and third chapters of the second author's PhD. Thesis. The last theorem was revised, as we

Scientific paper

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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