Mathematics – Rings and Algebras
Scientific paper
2006-10-23
Mathematics
Rings and Algebras
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.
Juriaans Stanley Orlando
Souza Filho A. C.
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