| Title:
|
A note on congruence kernels in ortholattices (English) |
| Author:
|
Chajda, Ivan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
125 |
| Issue:
|
2 |
| Year:
|
2000 |
| Pages:
|
169-172 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We characterize ideals of ortholattices which are congruence kernels. We show that every congruence class determines a kernel. (English) |
| Keyword:
|
ortholattice |
| Keyword:
|
congruence |
| Keyword:
|
kernel |
| Keyword:
|
ideal |
| MSC:
|
06B10 |
| MSC:
|
06C15 |
| idZBL:
|
Zbl 0966.06010 |
| idMR:
|
MR1768805 |
| DOI:
|
10.21136/MB.2000.125950 |
| . |
| Date available:
|
2009-09-24T21:42:00Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125950 |
| . |
| Reference:
|
[1] Beran L.: Orthomodular lattices.Algebraic Approach. Academia, Praha, 1984. MR 0785005 |
| Reference:
|
[2] Hashimoto J.: Ideal theory for lattices.Math. Japon. 2 (1952), 149-186. Zbl 0048.25903, MR 0057224 |
| Reference:
|
[3] Kalmbach B.: Orthomodular Lattices.London Math. Soc. Monographs 18, Academic Press, London, 1983. Zbl 0528.06012 |
| Reference:
|
[4] Maľcev A. I.: On the general theory of algebraic systems.Mat. Sb. 35 (77) (1954), 3-20. (In Russian.) MR 0065533 |
| . |
