| Title:
|
Uniquely covered radical classes of $\ell$-groups (English) |
| Author:
|
Zhang, Y. |
| Author:
|
Wang, Y. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
51 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
473-476 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is proved that a radical class $\sigma $ of lattice-ordered groups has exactly one cover if and only if it is an intersection of some $\sigma $-complement radical class and the big atom over $\sigma $. (English) |
| Keyword:
|
radical class |
| Keyword:
|
atom |
| Keyword:
|
unique covering question |
| Keyword:
|
quasi-complement radical class |
| Keyword:
|
$\sigma $-homogeneous |
| MSC:
|
06E08 |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 1079.06506 |
| idMR:
|
MR1851541 |
| . |
| Date available:
|
2009-09-24T10:44:23Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127663 |
| . |
| Reference:
|
[1] J. Jakubík: Radical mappings and radical classes of lattice ordered groups.Sympos. Math. 21 (1977), 451–477. MR 0491397 |
| Reference:
|
[2] J. Jakubík: Radical subgroups of lattice ordered groups.Czechoslovak Math. J. 36(111) (1986), 285–297. MR 0831316 |
| Reference:
|
[3] Y. Zhang: Unique covering on radical classes of $\ell $-groups.Czechoslovak Math. J. 45(120) (1995), 435–441. Zbl 0841.06016, MR 1344508 |
| . |
