| Title:
|
Uniformity of congruences in coherent varieties (English) |
| Author:
|
Chajda, Ivan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
125 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
269-273 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
An algebra $a$ is uniform if for each $\theta\in\Con a$, every two classes of $\theta$ have the same cardinality. It was shown by W. Taylor that coherent varieties need not be uniform (and vice versa). We show that every coherent variety having transferable congruences is uniform. (English) |
| Keyword:
|
uniformity |
| Keyword:
|
regularity |
| Keyword:
|
permutability |
| Keyword:
|
coherence |
| Keyword:
|
transferable congruences |
| Keyword:
|
Mal'cev condition |
| MSC:
|
08A30 |
| MSC:
|
08B05 |
| idZBL:
|
Zbl 0967.08001 |
| idMR:
|
MR1790120 |
| DOI:
|
10.21136/MB.2000.126134 |
| . |
| Date available:
|
2009-09-24T21:43:27Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126134 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[4] Chаjdа I: Weak coherence of congruences.Czechoslovak Math. J. 41 (1991), 149-154. MR 1087635 |
| Reference:
|
[5] Geiger D.: Coherent algebras.Notices Amer. Math. Soc. 21 (1974), 74T-A130. |
| Reference:
|
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| Reference:
|
[7] McKenzie R.: Narrowness implies uniformity.Algebra Universalis 15 (1982), 67-85. Zbl 0505.08004, MR 0663953, 10.1007/BF02483709 |
| Reference:
|
[8] Tаylor W.: Uniformity of congruences.Algebra Universalis 4 (1974), 342-360. MR 0376483, 10.1007/BF02485747 |
| Reference:
|
[9] Thurston H. A.: Derived operations and congruences.Proc. London Math. Soc. 8 (1958), 127-134. Zbl 0078.01901, MR 0091924 |
| Reference:
|
[10] Werner H.: A Maľcev condition on admissible relations.Algebra Universalis 3 (1973), 263. MR 0330009, 10.1007/BF02945126 |
| . |
