Local versions of some congruence properties in single algebras

Ivan Chajda; Gerhard Dorfer; Helmut Länger

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2004)

  • Volume: 43, Issue: 1, page 65-73
  • ISSN: 0231-9721

Abstract

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We investigate some local versions of congruence permutability, regularity, uniformity and modularity. The results are applied to several examples including implication algebras, orthomodular lattices and relative pseudocomplemented lattices.

How to cite

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Chajda, Ivan, Dorfer, Gerhard, and Länger, Helmut. "Local versions of some congruence properties in single algebras." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 43.1 (2004): 65-73. <http://eudml.org/doc/32352>.

@article{Chajda2004,
abstract = {We investigate some local versions of congruence permutability, regularity, uniformity and modularity. The results are applied to several examples including implication algebras, orthomodular lattices and relative pseudocomplemented lattices.},
author = {Chajda, Ivan, Dorfer, Gerhard, Länger, Helmut},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {congruence permutability; congruence regularity; congruence uniformity; congruence modularity; congruence permutability; congruence regularity; congruence uniformity; congruence modularity},
language = {eng},
number = {1},
pages = {65-73},
publisher = {Palacký University Olomouc},
title = {Local versions of some congruence properties in single algebras},
url = {http://eudml.org/doc/32352},
volume = {43},
year = {2004},
}

TY - JOUR
AU - Chajda, Ivan
AU - Dorfer, Gerhard
AU - Länger, Helmut
TI - Local versions of some congruence properties in single algebras
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2004
PB - Palacký University Olomouc
VL - 43
IS - 1
SP - 65
EP - 73
AB - We investigate some local versions of congruence permutability, regularity, uniformity and modularity. The results are applied to several examples including implication algebras, orthomodular lattices and relative pseudocomplemented lattices.
LA - eng
KW - congruence permutability; congruence regularity; congruence uniformity; congruence modularity; congruence permutability; congruence regularity; congruence uniformity; congruence modularity
UR - http://eudml.org/doc/32352
ER -

References

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  2. Chajda I., A localization of some congruence conditions in varieties with nullary operations, Annales Univ. Sci. Budapest 30 (1987), 17–23. (1987) Zbl0636.08004MR0927804
  3. Chajda I., Locally regular varieties, Acta Sci. Math. (Szeged) 64 (1998), 431–435. (1998) Zbl0913.08006MR1666006
  4. Chajda I., Eigenthaler G., Länger H.: Congruence Classes in Universal Algebra., Research and Exposition in Mathematics, Vol. 26, Heldermann Verlag, Lemgo, , 2003. MR1985832
  5. Csákány B., Characterizations of regular varieties, Acta Sci. Math. (Szeged) 31 (1970), 187–189. (1970) MR0272697
  6. Duda J., Arithmeticity at 0, Czechoslovak Math. J. 37 (1987), 197–206. (1987) Zbl0627.08003MR0882594
  7. Fichtner K., Eine Bemerkung über Mannigfaltigkeiten universeller Algebren mit Idealen, Monatsber. DAW 12 (1970), 21–25. (1970) Zbl0198.33601MR0256968
  8. Kalmbach G.: Orthomodular Lattices., Academic Press, London–New York, , 1983. (1983) MR0716496
  9. Maltsev A. I., On the general theory of algebraic systems, Mat. Sbornik 35 (1954), 3–20 (in Russian). (1954) MR0065533

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