| Title:
|
On Jónsson's theorem (English) |
| Author:
|
Vaggione, Diego |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
121 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
55-58 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A proof of Jonsson's theorem inspired by considering a natural topology on algebraic lattices is given. (English) |
| Keyword:
|
Jónsson’s theorem |
| Keyword:
|
algebraic lattice |
| Keyword:
|
compact subset of an algebraic lattice |
| Keyword:
|
meet prime elements |
| MSC:
|
06B05 |
| MSC:
|
06B15 |
| MSC:
|
06B30 |
| MSC:
|
08B10 |
| MSC:
|
08B15 |
| MSC:
|
08B26 |
| idZBL:
|
Zbl 0863.06008 |
| idMR:
|
MR1388174 |
| DOI:
|
10.21136/MB.1996.125941 |
| . |
| Date available:
|
2009-09-24T21:15:16Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125941 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice Theory.Ameг. Math. Soc. Colloq. Publ. Vol. 25, Revised Edition, Providence, 1948. Zbl 0033.10103, MR 0029876 |
| Reference:
|
[2] S. Burris, H. P. Sankappanavar: A Course in Universal Algebra.Springer-Verlag, New York, 1981. Zbl 0478.08001, MR 0648287 |
| Reference:
|
[3] B. Jónsson: Algebгas whose congruence lattices are distributive.Math. Scand. 21 (1967), 110-121. MR 0237402, 10.7146/math.scand.a-10850 |
| Reference:
|
[4] D. Pigozzi: Finite basis theorems for relatively congruence-distributive quasivaгieties.Trans. Amer. Math. Soc. 310 (1988), 499-533. MR 0946222, 10.1090/S0002-9947-1988-0946222-1 |
| Reference:
|
[5] D. J. Vaggione: Sheaf Representation and Chinese Remainder Theorems.Algebra Universalis 29 (1992), 232-272. Zbl 0772.08005, MR 1157436, 10.1007/BF01190609 |
| Reference:
|
[6] D. J. Vaggione: Locally Boolean Spectra.Algebra Universalis 33 (1995), 319-354. Zbl 0821.08001, MR 1322777, 10.1007/BF01190703 |
| . |
