| Title:
|
Compact elements in the lattice of varieties (English) |
| Author:
|
Ježek, J. |
| Author:
|
Slavík, V. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
130 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
107-110 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that the lattice of varieties contains almost no compact elements. (English) |
| Keyword:
|
variety |
| Keyword:
|
lattice |
| Keyword:
|
compact element |
| MSC:
|
08B15 |
| idZBL:
|
Zbl 1111.08004 |
| idMR:
|
MR2128364 |
| DOI:
|
10.21136/MB.2005.134225 |
| . |
| Date available:
|
2009-09-24T22:18:51Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134225 |
| . |
| Reference:
|
[1] J. Ježek: The lattice of equational theories.Czechoslovak Math. J. 31 (1981), 127–152; 573–603. MR 0604120 |
| Reference:
|
[2] W. Lampe: A property of the lattice of equational theories.Algebra Universalis 23 (1986), 61–69. Zbl 0604.08003, MR 0873596, 10.1007/BF01190912 |
| Reference:
|
[3] W. Lampe: Further properties of lattices of equational theories.Algebra Universalis 28 (1991), 459–486. Zbl 0756.08006, MR 1128384, 10.1007/BF01195857 |
| Reference:
|
[4] R. McKenzie, G. McNulty, W. Taylor: Algebras, Lattices, Varieties, Vol. I.Wadsworth & Brooks/Cole, Monterey, CA, 1987. MR 0883644 |
| . |
