| Title:
|
A note on triangular schemes for weak congruences (English) |
| Author:
|
Chajda, Ivan |
| Author:
|
Šešelja, Branimir |
| Author:
|
Tepavčević, Andreja |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
683-690 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some geometrical methods, the so called Triangular Schemes and Principles, are introduced and investigated for weak congruences of algebras. They are analogues of the corresponding notions for congruences. Particular versions of Triangular Schemes are equivalent to weak congruence modularity and to weak congruence distributivity. For algebras in congruence permutable varieties, stronger properties—Triangular Principles—are equivalent to weak congruence modularity and distributivity. (English) |
| Keyword:
|
triangular scheme |
| Keyword:
|
triangular principle |
| Keyword:
|
weak congruence |
| Keyword:
|
weak congruence modularity |
| Keyword:
|
weak congruence distributivity |
| MSC:
|
08A05 |
| MSC:
|
08A30 |
| idZBL:
|
Zbl 1081.08004 |
| idMR:
|
MR2153092 |
| . |
| Date available:
|
2009-09-24T11:26:37Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128012 |
| . |
| Reference:
|
[1] I. Chajda: A note on the Triangular Scheme.East-West J. Math. 3 (2001), 79–80. Zbl 1007.08002, MR 1866645 |
| Reference:
|
[2] I. Chajda and E. K. Horváth: A triangular scheme for congruence distributivity.Acta Sci. Math. (Szeged) (to appear). MR 1916565 |
| Reference:
|
[3] I. Chajda, G. Czédli and E. K. Horváth: Shifting lemma and shifting lattice identities.Preprint. MR 2026826 |
| Reference:
|
[4] H. P. Gumm: Geometrical methods in congruence modular algebras.Mem. Am. Math. Soc. No. 286, 1983. Zbl 0547.08006, MR 0714648 |
| Reference:
|
[5] B. Jónsson: Algebras whose congruence lattices are distributive.Math. Scand. 21 (1967), 110–121. MR 0237402, 10.7146/math.scand.a-10850 |
| Reference:
|
[6] B. Šešelja and A. Tepavčević: Weak Congruences in Universal Algebra.Institute of Mathematics, Novi Sad, 2001. MR 1878678 |
| . |
