On the cancellation law for disconnected partially ordered sets

Ján Jakubík; Judita Lihová

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 3, page 215-223
  • ISSN: 0232-0525

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Jakubík, Ján, and Lihová, Judita. "On the cancellation law for disconnected partially ordered sets." Mathematica Slovaca 54.3 (2004): 215-223. <http://eudml.org/doc/31797>.

@article{Jakubík2004,
author = {Jakubík, Ján, Lihová, Judita},
journal = {Mathematica Slovaca},
keywords = {partially ordered set; connected component; direct product; cancellation},
language = {eng},
number = {3},
pages = {215-223},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the cancellation law for disconnected partially ordered sets},
url = {http://eudml.org/doc/31797},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Jakubík, Ján
AU - Lihová, Judita
TI - On the cancellation law for disconnected partially ordered sets
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 3
SP - 215
EP - 223
LA - eng
KW - partially ordered set; connected component; direct product; cancellation
UR - http://eudml.org/doc/31797
ER -

References

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  1. APPLESON R. R.-LOVÁSZ L., A characterization of cancellable k-ary structures, Period. Math. Hungar. 6 (1975), 17-19. (1975) Zbl0306.08001MR0373995
  2. BIRKHOFF B., Lattice Theory, (Rev. ed.), Amer. Math. Soc, New York, 1948. (1948) Zbl0033.10103MR0029876
  3. HASHIMOTO J., On the product decomposition of partially ordered sets, Math. Japon. 1 (1948), 120-123. (1948) Zbl0041.37801MR0030502
  4. HASHIMOTO J., On direct product decomposition of partially ordered sets, Ann. of Math. 54 (1951), 315-318. (1951) MR0043067
  5. JAKUBÍK J.-CSONTÓOVÁ M., Convex isomorphisms of directed multilattices, Math. Bohem. 118 (1993), 359-379. (1993) Zbl0802.06008MR1251882
  6. JAKUBÍK J.-CSONTÓOVÁ M., Cancellation rule for internal direct product decompositions of a connected partially ordered sets, Math. Bohem. 125 (2000), 115-122. MR1752083
  7. JAKUBÍK J., On direct and subdirect product decompositions of partially ordered sets, Math. Slovaca 52 (2002), 377-395. Zbl1016.06002MR1940243
  8. LOVÁSZ L., Operations with structures, Acta Math. Acad. Sci. Hungar. 18 (1967), 321-328. (1967) Zbl0174.01401MR0214529
  9. LOVÁSZ L., On the cancellation law among finite relational structures, Period. Math. Hungar. 1 (1971), 145-156. (1971) Zbl0223.08002MR0284391
  10. McKENZIE R.-McNULTY G.-TAYLOR W., Algebras, Lattices, Varieties, Vol I, Wadsworth, Belmont, 1987. (1987) MR0883644
  11. NOVOTNÝ J., On the characterization of a certain class of monounary algebras, Math. Slovaca 40 (1990), 123-126. (1990) Zbl0734.08003MR1094767
  12. PLOŠČICA M.-ZELINA M., Cancellation among finite unary algebras, Discrete Math. 159 (1996), 191-198. (1996) Zbl0859.08003MR1415293

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