| Title:
|
Structure of partially ordered cyclic semigroups (English) |
| Author:
|
Drewniak, Jósef |
| Author:
|
Sobera, Jolanta |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
777-791 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper recalls some properties of a cyclic semigroup and examines cyclic subsemigroups in a finite ordered semigroup. We prove that a partially ordered cyclic semigroup has a spiral structure which leads to a separation of three classes of such semigroups. The cardinality of the order relation is also estimated. Some results concern semigroups with a lattice order. (English) |
| Keyword:
|
cyclic semigroup |
| Keyword:
|
ordered semigroup |
| Keyword:
|
lattice order |
| Keyword:
|
idempotent element |
| Keyword:
|
subidempotent |
| Keyword:
|
superidempotent elements |
| MSC:
|
06F05 |
| MSC:
|
20M10 |
| MSC:
|
20M30 |
| idZBL:
|
Zbl 1080.06019 |
| idMR:
|
MR2018830 |
| . |
| Date available:
|
2009-09-24T11:06:35Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127840 |
| . |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| . |
