| Title:
|
Strong retracts of unary algebras (English) |
| Author:
|
Madarász, Rozália Sz. |
| Author:
|
Mašulović, Dragan |
| Author:
|
Tasić, Boža |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
205-212 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper introduces the notion of a strong retract of an algebra and then focuses on strong retracts of unary algebras. We characterize subuniverses of a unary algebra which are carriers of its strong retracts. This characterization enables us to describe the poset of strong retracts of a unary algebra under inclusion. Since this poset is not necessarily a lattice, we give a necessary and sufficient condition for the poset to be a lattice, as well as the full description of the poset. (English) |
| Keyword:
|
inflations of algebras |
| Keyword:
|
retracts of algebras |
| Keyword:
|
unary algebras |
| MSC:
|
08A35 |
| MSC:
|
08A60 |
| idZBL:
|
Zbl 1079.08502 |
| idMR:
|
MR1814646 |
| . |
| Date available:
|
2009-09-24T10:41:34Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127640 |
| . |
| Reference:
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