Lexicographic product decompositions of half linearly ordered loops
Czechoslovak Mathematical Journal (2007)
- Volume: 57, Issue: 2, page 607-629
- ISSN: 0011-4642
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topDemko, Milan. "Lexicographic product decompositions of half linearly ordered loops." Czechoslovak Mathematical Journal 57.2 (2007): 607-629. <http://eudml.org/doc/31150>.
@article{Demko2007,
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.},
author = {Demko, Milan},
journal = {Czechoslovak Mathematical Journal},
keywords = {half linearly ordered quasigroup; half linearly ordered loop; lexicographic product; isomorphic refinements; half linearly ordered quasigroup; half linearly ordered loop; lexicographic product; isomorphic refinements},
language = {eng},
number = {2},
pages = {607-629},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Lexicographic product decompositions of half linearly ordered loops},
url = {http://eudml.org/doc/31150},
volume = {57},
year = {2007},
}
TY - JOUR
AU - Demko, Milan
TI - Lexicographic product decompositions of half linearly ordered loops
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 2
SP - 607
EP - 629
AB - 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.
LA - eng
KW - half linearly ordered quasigroup; half linearly ordered loop; lexicographic product; isomorphic refinements; half linearly ordered quasigroup; half linearly ordered loop; lexicographic product; isomorphic refinements
UR - http://eudml.org/doc/31150
ER -
References
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