# On the congruence lattice of an abelian lattice ordered group

Mathematica Bohemica (2001)

- Volume: 126, Issue: 3, page 653-660
- ISSN: 0862-7959

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topJakubík, Ján. "On the congruence lattice of an abelian lattice ordered group." Mathematica Bohemica 126.3 (2001): 653-660. <http://eudml.org/doc/248880>.

@article{Jakubík2001,

abstract = {In the present note we characterize finite lattices which are isomorphic to the congruence lattice of an abelian lattice ordered group.},

author = {Jakubík, Ján},

journal = {Mathematica Bohemica},

keywords = {lattice ordered group; $\ell $-ideal; congruence lattice; disjoint subset; abelian lattice ordered group; -ideal; congruence lattice; disjoint subset},

language = {eng},

number = {3},

pages = {653-660},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On the congruence lattice of an abelian lattice ordered group},

url = {http://eudml.org/doc/248880},

volume = {126},

year = {2001},

}

TY - JOUR

AU - Jakubík, Ján

TI - On the congruence lattice of an abelian lattice ordered group

JO - Mathematica Bohemica

PY - 2001

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 126

IS - 3

SP - 653

EP - 660

AB - In the present note we characterize finite lattices which are isomorphic to the congruence lattice of an abelian lattice ordered group.

LA - eng

KW - lattice ordered group; $\ell $-ideal; congruence lattice; disjoint subset; abelian lattice ordered group; -ideal; congruence lattice; disjoint subset

UR - http://eudml.org/doc/248880

ER -

## References

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- Lattice Ordered Groups, Tulane University, 1970. (1970) Zbl0258.06011
- On the congruence lattice of a lattice, In: The Dilworth Theorems. Selected Papers of Robert P. Dilworth, K. Bogart, R. Freese, J. Kung (eds.), Birkhäuser Verlag, Basel, 1990, pp. 460–464. (1990) MR1111511
- On congruence lattices of lattices, Acta Math. Acad. Sci. Hungar. 13 (1962), 179–185. (1962) MR0139551
- On linearly ordered groups, J. Math. Soc. Japan 1 (1948), 1–9. (1948) Zbl0038.01301MR0028313
- On lexico extensions of lattice ordered groups, Math. Slovaca 33 (1983), 81–84. (1983) MR0689282
- Congruence lattices of free lattices in non-distributive varieties, Colloq. Math. 76 (1998), 269–278. (1998) MR1618712

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