| Title:
|
Generalized cardinal properties of lattices and lattice ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
4 |
| Year:
|
2004 |
| Pages:
|
1035-1053 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We denote by $K$ the class of all cardinals; put $K^{\prime }= K \cup \lbrace \infty \rbrace $. Let $\mathcal C$ be a class of algebraic systems. A generalized cardinal property $f$ on $\mathcal C$ is defined to be a rule which assings to each $A \in \mathcal C$ an element $f A$ of $K^{\prime }$ such that, whenever $A_1, A_2 \in \mathcal C$ and $A_1 \simeq A_2$, then $f A_1 =f A_2$. In this paper we are interested mainly in the cases when (i) $\mathcal C$ is the class of all bounded lattices $B$ having more than one element, or (ii) $\mathcal C$ is a class of lattice ordered groups. (English) |
| Keyword:
|
bounded lattice |
| Keyword:
|
lattice ordered group |
| Keyword:
|
generalized cardinal property |
| Keyword:
|
homogeneity |
| MSC:
|
06B05 |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 1080.06029 |
| idMR:
|
MR2100012 |
| . |
| Date available:
|
2009-09-24T11:19:53Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127949 |
| . |
| 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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| . |
