Congruence submodularity
Discussiones Mathematicae - General Algebra and Applications (2002)
- Volume: 22, Issue: 2, page 131-139
- ISSN: 1509-9415
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Abstract
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topIvan Chajda, and Radomír Halaš. "Congruence submodularity." Discussiones Mathematicae - General Algebra and Applications 22.2 (2002): 131-139. <http://eudml.org/doc/287659>.
@article{IvanChajda2002,
abstract = {We present a countable infinite chain of conditions which are essentially weaker then congruence modularity (with exception of first two). For varieties of algebras, the third of these conditions, the so called 4-submodularity, is equivalent to congruence modularity. This is not true for single algebras in general. These conditions are characterized by Maltsev type conditions.},
author = {Ivan Chajda, Radomír Halaš},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {congruence lattice; modularity; congruence k-submodularity; congruence -submodularity},
language = {eng},
number = {2},
pages = {131-139},
title = {Congruence submodularity},
url = {http://eudml.org/doc/287659},
volume = {22},
year = {2002},
}
TY - JOUR
AU - Ivan Chajda
AU - Radomír Halaš
TI - Congruence submodularity
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2002
VL - 22
IS - 2
SP - 131
EP - 139
AB - We present a countable infinite chain of conditions which are essentially weaker then congruence modularity (with exception of first two). For varieties of algebras, the third of these conditions, the so called 4-submodularity, is equivalent to congruence modularity. This is not true for single algebras in general. These conditions are characterized by Maltsev type conditions.
LA - eng
KW - congruence lattice; modularity; congruence k-submodularity; congruence -submodularity
UR - http://eudml.org/doc/287659
ER -
References
top- [1] I. Chajda and K. Głazek, A Basic Course on General Algebra, Technical University Press, Zielona Góra (Poland), 2000. Zbl0970.08001
- [2] A. Day, A characterization of modularity for congruence lattices of algebras, Canad. Math. Bull. 12 (1969), 167-173. Zbl0181.02302
- [3] B. Jónsson, On the representation of lattices, Math. Scand. 1 (1953), 193-206. Zbl0053.21304
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