Abstract
In this paper we prove for an hl-loop Q an assertion analogous to the result of Jakubík concerning lexicographic products of half linearly ordered groups. We found conditions under which any two lexicographic product decompositions of an hl-loop Q with a finite number of lexicographic factors have isomorphic refinements.
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Demko, M. Lexicographic product decompositions of half linearly ordered loops. Czech Math J 57, 607–629 (2007). https://doi.org/10.1007/s10587-007-0101-5
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DOI: https://doi.org/10.1007/s10587-007-0101-5