Lexicographic product decompositions of partially ordered quasigroups

Milan Demko

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 1, page 13-24
  • ISSN: 0232-0525

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Demko, Milan. "Lexicographic product decompositions of partially ordered quasigroups." Mathematica Slovaca 51.1 (2001): 13-24. <http://eudml.org/doc/31578>.

@article{Demko2001,
author = {Demko, Milan},
journal = {Mathematica Slovaca},
keywords = {partially ordered quasigroup; directed quasigroup; lexicographic product decomposition},
language = {eng},
number = {1},
pages = {13-24},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Lexicographic product decompositions of partially ordered quasigroups},
url = {http://eudml.org/doc/31578},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Demko, Milan
TI - Lexicographic product decompositions of partially ordered quasigroups
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 1
SP - 13
EP - 24
LA - eng
KW - partially ordered quasigroup; directed quasigroup; lexicographic product decomposition
UR - http://eudml.org/doc/31578
ER -

References

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  1. BELYAVSKAYA G. B., Direct decomposition of quasigroups, Mat. Issled. 5 (1987), 23-38. (Russian) (1987) MR0904234
  2. BELYAVSKAYA G. B., Complete direct decompositions of quasigroups with an idempotent, Mat. Issled. 113 (1990), 21-36. (Russian) (1990) Zbl0746.20053MR1073919
  3. BELOUSOV V. D., Foundations of the Theory of Quasigroups and Loops, Nauka, Moscow, 1967. (Russian) (1967) MR0218483
  4. BIRKHOFF G., Lattice Theory, Amer. Math. Soc, Providence, RI, 1967. (1967) Zbl0153.02501MR0227053
  5. ČERNÁK Š., Lexicographic products of cyclically ordered groups, Math. Slovaca 45 (1995), 29-38. (1995) Zbl0836.06010MR1335837
  6. JAKUBIK J., Lexicographic products of partially ordered groupoids, Czechoslovak Math. J. 14(89) (1964), 281-305. (Russian) (1964) MR0167558
  7. JAKUBÍK J., Lexicographic product decompositions of cyclically ordered groups, Czechoslovak Math. J. 48(123) (1998), 229-241. (1998) Zbl0952.06021MR1624307
  8. JAKUBÍK J., Lexicographic products of half linearly ordered groups, Czechoslovak Math. J. (To appear). Zbl1079.06504MR1814638
  9. MAL'CEV A. I., On ordered groups, Izv. Akad. Nauk SSSR Ser. Mat. 13 (1949), 473-482.(Russian) (1949) MR0032645
  10. TARARIN V. M., Ordered quasigroups, Izv. Vyssh. Uchebn. Zaved. Mat. 1 (1979), 82-86. (Russian) (1979) MR0541491

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