| Title:
|
Direct product decompositions of infinitely distributive lattices (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
125 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
341-354 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\alpha$ be an infinite cardinal. Let $\Cal T_\alpha$ be the class of all lattices which are conditionally $\alpha$-complete and infinitely distributive. We denote by $\Cal{T}_\sigma'$ the class of all lattices $X$ such that $X$ is infinitely distributive, $\sigma$-complete and has the least element. In this paper we deal with direct factors of lattices belonging to $\Cal T_\alpha$. As an application, we prove a result of Cantor-Bernstein type for lattices belonging to the class $\Cal T_\sigma'$. (English) |
| Keyword:
|
direct product decomposition |
| Keyword:
|
infinite distributivity |
| Keyword:
|
conditional $\alpha$-completeness |
| MSC:
|
06B23 |
| MSC:
|
06B35 |
| MSC:
|
06D10 |
| idZBL:
|
Zbl 0967.06004 |
| idMR:
|
MR1790125 |
| DOI:
|
10.21136/MB.2000.126128 |
| . |
| Date available:
|
2009-09-24T21:44:13Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126128 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| . |
