| Title:
|
$MV$-test spaces versus $MV$-algebras (English) |
| Author:
|
Nola, Antonio Di |
| Author:
|
Dvurečenskij, Anatolij |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
189-203 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In analogy with effect algebras, we introduce the test spaces and $MV$-test spaces. A test corresponds to a hypothesis on the propositional system, or, equivalently, to a partition of unity. We show that there is a close correspondence between $MV$-algebras and $MV$-test spaces. (English) |
| Keyword:
|
algebra |
| Keyword:
|
effect algebra |
| Keyword:
|
$MV$-algebra |
| Keyword:
|
test space |
| Keyword:
|
$MV$-test space |
| Keyword:
|
state |
| Keyword:
|
weight |
| MSC:
|
03B50 |
| MSC:
|
03G12 |
| MSC:
|
06D35 |
| idZBL:
|
Zbl 1049.03044 |
| idMR:
|
MR2040231 |
| . |
| Date available:
|
2009-09-24T11:11:15Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127876 |
| . |
| Reference:
|
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| . |
