| Title:
|
Extensional subobjects in categories of $\Omega$-fuzzy sets (English) |
| Author:
|
Močkoř, Jiří |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
57 |
| Issue:
|
2 |
| Year:
|
2007 |
| Pages:
|
631-645 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Two categories $\mathbb{Set}(\Omega )$ and $\mathbb{SetF}(\Omega )$ of fuzzy sets over an $MV$-algebra $\Omega $ are investigated. Full subcategories of these categories are introduced consisting of objects $(\mathop {{\mathrm sub}}(A,\delta )$, $\sigma )$, where $\mathop {{\mathrm sub}}(A,\delta )$ is a subset of all extensional subobjects of an object $(A,\delta )$. It is proved that all these subcategories are quasi-reflective subcategories in the corresponding categories. (English) |
| Keyword:
|
$MV$-algebras |
| Keyword:
|
similarity relation |
| Keyword:
|
quasi-reflective subcategory |
| MSC:
|
03E72 |
| MSC:
|
06D35 |
| MSC:
|
18A40 |
| idZBL:
|
Zbl 1174.06320 |
| idMR:
|
MR2337619 |
| . |
| Date available:
|
2009-09-24T11:48:07Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128194 |
| . |
| 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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| . |
