| Title:
|
Local versions of some congruence properties in single algebras (English) |
| Author:
|
Chajda, Ivan |
| Author:
|
Dorfer, Gerhard |
| Author:
|
Länger, Helmut |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
43 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
65-73 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
congruence permutability |
| Keyword:
|
congruence regularity |
| Keyword:
|
congruence uniformity |
| Keyword:
|
congruence modularity |
| MSC:
|
08A30 |
| MSC:
|
08B05 |
| idZBL:
|
Zbl 1077.08002 |
| idMR:
|
MR2124604 |
| . |
| Date available:
|
2009-08-21T12:54:16Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132942 |
| . |
| Reference:
|
[1] Abbott J. C.: Semi-boolean algebra.Mat. Vesnik 4 (1967), 177–198. Zbl 0153.02704, MR 0239957 |
| Reference:
|
[2] Chajda I.: A localization of some congruence conditions in varieties with nullary operations.Annales Univ. Sci. Budapest 30 (1987), 17–23. Zbl 0636.08004, MR 0927804 |
| Reference:
|
[3] Chajda I.: Locally regular varieties.Acta Sci. Math. (Szeged) 64 (1998), 431–435. Zbl 0913.08006, MR 1666006 |
| Reference:
|
[4] Chajda I., Eigenthaler G., Länger H.: Congruence Classes in Universal Algebra. : Research and Exposition in Mathematics, Vol. 26, Heldermann Verlag, Lemgo., 2003. MR 1985832 |
| Reference:
|
[5] Csákány B.: Characterizations of regular varieties.Acta Sci. Math. (Szeged) 31 (1970), 187–189. MR 0272697 |
| Reference:
|
[6] Duda J.: Arithmeticity at 0.Czechoslovak Math. J. 37 (1987), 197–206. Zbl 0627.08003, MR 0882594 |
| Reference:
|
[7] Fichtner K.: Eine Bemerkung über Mannigfaltigkeiten universeller Algebren mit Idealen.Monatsber. DAW 12 (1970), 21–25. Zbl 0198.33601, MR 0256968 |
| Reference:
|
[8] Kalmbach G.: Orthomodular Lattices. : Academic Press, London–New York., 1983. MR 0716496 |
| Reference:
|
[9] Maltsev A. I.: On the general theory of algebraic systems.Mat. Sbornik 35 (1954), 3–20 (in Russian). MR 0065533 |
| . |
