Geodesic
Lexicographic product decompositions of half linearly ordered loops
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 607-629 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 06F99, 20N05
Keywords: half linearly ordered quasigroup; half linearly ordered loop; lexicographic product; isomorphic refinements 
@article{CMJ_2007_57_2_a6,
     author = {Demko, Milan},
     title = {Lexicographic product decompositions of half linearly ordered loops},
     journal = {Czechoslovak Mathematical Journal},
     pages = {607--629},
     year = {2007},
     volume = {57},
     number = {2},
     mrnumber = {2337618},
     zbl = {1174.06325},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2007_57_2_a6/}
}
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Demko, Milan. Lexicographic product decompositions of half linearly ordered loops. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 607-629. http://geodesic.mathdoc.fr/item/CMJ_2007_57_2_a6/