| Title:
|
On reflexive subobject lattices and reflexive endomorphism algebras (English) |
| Author:
|
Zhao, Dongsheng |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
2003 |
| Pages:
|
23-32 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we study the reflexive subobject lattices and reflexive endomorphism algebras in a concrete category. For the category {\bf Set} of sets and mappings, a complete characterization for both reflexive subobject lattices and reflexive endomorphism algebras is obtained. Some partial results are also proved for the category of abelian groups. (English) |
| Keyword:
|
concrete category |
| Keyword:
|
optimal subset |
| Keyword:
|
reflexive subobject lattice |
| Keyword:
|
reflexive endomorphism algebra |
| MSC:
|
06A35 |
| MSC:
|
18B05 |
| MSC:
|
18B35 |
| MSC:
|
18D35 |
| MSC:
|
46C10 |
| MSC:
|
47A15 |
| MSC:
|
47C05 |
| MSC:
|
47L35 |
| idZBL:
|
Zbl 1101.18303 |
| idMR:
|
MR2045843 |
| . |
| Date available:
|
2009-01-08T19:27:09Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119365 |
| . |
| 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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| Reference:
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| . |
