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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127645We 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.5 pages; this is part of the second and third chapters of the second author's PhD. Thesis. The last theorem was revised, as well as added some definitions and referencesRings and AlgebrasGeneral Mathematics20M25;20M10On the Classification of Finite Semigroups and RA-loop with the Hyperbolic Propertytext