| Title:
|
A note on congruence systems of MS-algebras (English) |
| Author:
|
Campercholi, M. |
| Author:
|
Vaggione, D. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
132 |
| Issue:
|
4 |
| Year:
|
2007 |
| Pages:
|
337-343 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $L$ be an MS-algebra with congruence permutable skeleton. We prove that solving a system of congruences $(\theta _{1},\ldots ,\theta _{n};x_{1} ,\ldots ,x_{n})$ in $L$ can be reduced to solving the restriction of the system to the skeleton of $L$, plus solving the restrictions of the system to the intervals $[x_{1},\bar{\bar{x}}_{1}],\dots ,[x_{n},\bar{ \bar{x}}_{n}].$ (English) |
| Keyword:
|
MS-algebra |
| Keyword:
|
permutable congruence |
| Keyword:
|
congruence system |
| MSC:
|
06-02 |
| MSC:
|
06D30 |
| idZBL:
|
Zbl 1174.06312 |
| idMR:
|
MR2365320 |
| DOI:
|
10.21136/MB.2007.133963 |
| . |
| Date available:
|
2009-09-24T22:32:28Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133963 |
| . |
| Reference:
|
[1] R. Balbes, P. Dwinger: Distributive Lattices.University of Missouri Press, Columbia, Missouri, 1974. MR 0373985 |
| Reference:
|
[2] T. S. Blyth, J. C. Varlet: Ockham Algebras.Oxford University Press, 1994. MR 1315526 |
| Reference:
|
[3] H. Gramaglia, D. Vaggione: Birkhoff-like sheaf representation for varieties of lattice expansions.Studia Logica 56 (1996), 111–131. MR 1382170, 10.1007/BF00370143 |
| . |
