| Title:
|
Characterization of posets of intervals (English) |
| Author:
|
Lihová, Judita |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
171-181 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
If $A$ is a class of partially ordered sets, let $P(A)$ denote the system of all posets which are isomorphic to the system of all intervals of $A$ for some $A\in A.$ We give an algebraic characterization of elements of $P(A)$ for $A$ being the class of all bounded posets and the class of all posets $A$ satisfying the condition that for each $a\in A$ there exist a minimal element $u$ and a maximal element $v$ with $u\le a\le v,$ respectively. (English) |
| Keyword:
|
partially ordered set |
| Keyword:
|
interval |
| MSC:
|
06A06 |
| idZBL:
|
Zbl 1047.06002 |
| idMR:
|
MR1785034 |
| . |
| Date available:
|
2008-06-06T22:25:41Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107729 |
| . |
| 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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| Reference:
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| Reference:
|
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| . |
