On the congruence lattice of an abelian lattice ordered group
Mathematica Bohemica (2001)
- Volume: 126, Issue: 3, page 653-660
- ISSN: 0862-7959
Access Full Article
top
Abstract
topHow to cite
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
top- Lattice Theory, Revised Edition, Providence, 1948. (1948) Zbl0033.10103MR0029876
- 10.1307/mmj/1028998387, Michigan Math. J. 7 (1960), 171–182. (1960) Zbl0103.01501MR0116059DOI10.1307/mmj/1028998387
- 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
- 10.1007/BF02033636, Acta Math. Acad. Sci. Hungar. 13 (1962), 179–185. (1962) MR0139551DOI10.1007/BF02033636
- 10.2969/jmsj/00110001, J. Math. Soc. Japan 1 (1948), 1–9. (1948) Zbl0038.01301MR0028313DOI10.2969/jmsj/00110001
- On lexico extensions of lattice ordered groups, Math. Slovaca 33 (1983), 81–84. (1983) MR0689282
- 10.4064/cm-76-2-269-278, Colloq. Math. 76 (1998), 269–278. (1998) MR1618712DOI10.4064/cm-76-2-269-278
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.