| Title:
|
Congruence restrictions on axes (English) |
| Author:
|
Duda, Jaromír |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
251-258 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give Mal’cev conditions for varieties 4V4 whose congruences on the product $A\times B, A, B\in V$, are determined by their restrictions on the axes in $A\times B$. (English) |
| Keyword:
|
Cartesian product |
| Keyword:
|
traces on axes |
| Keyword:
|
Mal’tsev conditions |
| Keyword:
|
congruence |
| Keyword:
|
axis in the product |
| Keyword:
|
variety of algebras |
| MSC:
|
08A30 |
| MSC:
|
08B05 |
| idZBL:
|
Zbl 0777.08003 |
| idMR:
|
MR1184538 |
| DOI:
|
10.21136/MB.1992.126285 |
| . |
| Date available:
|
2009-09-24T20:53:14Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126285 |
| . |
| Reference:
|
[1] B. Csákány: Characterizations of regular varieties.Acta Sci. Math. (Szeged) 31 (1970), 187-189. MR 0272697 |
| Reference:
|
[2] B. A. Davey K. R. Miles V. J. Schumann: Quasiidentities, Mal'cev conditions and congruence regularity.Acta Sci. Math. (Szeged) 51 (1987), 39-55. MR 0911557 |
| Reference:
|
[3] J. Duda: On two schemes applied to Mal'cev type theorems.Ann. Univ. Sci. Budapest, Sectio Mathematica 26 (1983), 39-45. Zbl 0518.08002, MR 0719774 |
| Reference:
|
[4] J. Duda: Mal'cev conditions for varieties of subregular algebras.Acta Sci. Math. (Szeged) 51 (1987), 329-334. Zbl 0647.08002, MR 0940937 |
| Reference:
|
[5] J. Duda: Diagonal elements and compatible relations in the square of algebras.Czechoslovak Math. Journal (to appear). |
| Reference:
|
[6] K. Fichtner: Varieties of universal algebras with ideals.Mat. Sbornik 75 no. 117 (1968), 445-453. (In Russian.) Zbl 0213.29602, MR 0222001 |
| Reference:
|
[7] G. A. Eraser A. Horn: Congruence relations in direct products.Proc. Amer. Math. Soc. 26 (1970), 390-394. MR 0265258, 10.1090/S0002-9939-1970-0265258-1 |
| Reference:
|
[8] G. Grätzer: Two Mal'cev-type theorems in universal algebra.J. Comb. Theory 8 (1970), 334-342. Zbl 0194.01401, MR 0279022, 10.1016/S0021-9800(70)80086-2 |
| Reference:
|
[9] J. Hagemann: On regular and weakly regular congruences.Preprint Nr. 75, TH-Darmstadt, 1973. |
| Reference:
|
[10] J. Timm: On regular algebras.Colloq. Math. Soc. János Bolyai 17. Contributions to universal algebra, Szeged (1975), pp. 503-514. MR 0491418 |
| Reference:
|
[11] R. Wille: Kongruenzklassengeometrien.Lecture Notes in Mathematics 113 (1970), Springer-Verlag, Berlin. Zbl 0191.51403, MR 0262149 |
| . |
