On direct and subdirect product decompositions of partially ordered sets

Ján Jakubík

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 4, page 377-395
  • ISSN: 0139-9918

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Jakubík, Ján. "On direct and subdirect product decompositions of partially ordered sets." Mathematica Slovaca 52.4 (2002): 377-395. <http://eudml.org/doc/31827>.

@article{Jakubík2002,
author = {Jakubík, Ján},
journal = {Mathematica Slovaca},
keywords = {directed sets; semilattice; lattice; direct product; internal direct product; regular subdirect product},
language = {eng},
number = {4},
pages = {377-395},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On direct and subdirect product decompositions of partially ordered sets},
url = {http://eudml.org/doc/31827},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Jakubík, Ján
TI - On direct and subdirect product decompositions of partially ordered sets
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 4
SP - 377
EP - 395
LA - eng
KW - directed sets; semilattice; lattice; direct product; internal direct product; regular subdirect product
UR - http://eudml.org/doc/31827
ER -

References

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  1. BENADO M., Les ensembles partiellement ordonnees et le theoreme de Schreier II, Czechoslovak Math. J. 5 (1955), 308-344. (1955) MR0076744
  2. BIRKHOFF G., Lattice Theory, Colloquium Publications, Vol. XXV, Amer. Math. Soc., Providence, RI, 1967. (1967) Zbl0153.02501MR0227053
  3. GRATZER G., Universal Algebra, D. Van Nostrand Company, Inc., Princeton, 1968. (1968) MR0248066
  4. GRATZER G., General Lattice Theory, Akademie Verlag, Berlin, 1978. (1978) MR0504338
  5. HALAS R., Decompositions of directed sets with zero, Math. Slovaca 45 (1995), 9-17. (1995) Zbl0833.06001MR1335835
  6. HASHIMOTO J., On direct product decompositions of partially ordered sets, Ann. of Math. (2) 54 (1951), 315-318. (1951) MR0043067
  7. JAKUBÍK J., Weak product decompositions of discrete lattices, Czechoslovak Math. J. 21 (1971), 399-412. (1971) Zbl0224.06003MR0286723
  8. JAKUBÍK J., Weak product decompositions of partially ordered sets, Colloq. Math. 25 (1972), 13-26. (1972) MR0329977
  9. JAKUBÍK J.-CSONTOOVA M., Convex isomorphisms of directed multilattices, Math. Bohem. 118 (1993), 359-374. (1993) Zbl0802.06008MR1251882
  10. JAKUBÍK J.-CSONTOOVA M., Cancellation rule for internal direct product decompositions of a connected partially ordered set, Math. Bohem. 125 (2000), 115-122. Zbl0967.06001MR1752083
  11. KOLIBIAR M., Graph isomorphisms of semilattices, In: Contributions to General Algebra 3, Proc. Vienna Conference, 1984, Verlag Holder-Pichler-Temspsky, Wien, 1985, pp. 225-235. (1984) MR0815129
  12. PRINGEROVA G., Direct product decompositions of a directed set, Acta Fac. Paed. Univ. Safarik 17 (1996), 1-8. (Slovak) (1996) 

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