| Title:
|
Extensions of partially ordered partial abelian monoids (English) |
| Author:
|
Pulmannová, Sylvia |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
1 |
| Year:
|
2006 |
| Pages:
|
155-178 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The notion of a partially ordered partial abelian monoid is introduced and extensions of partially ordered abelian monoids by partially ordered abelian groups are studied. Conditions for the extensions to exist are found. The cases when both the above mentioned structures have the Riesz decomposition property, or are lattice ordered, are treated. Some applications to effect algebras and MV-algebras are shown. (English) |
| Keyword:
|
abelian partially ordered groups |
| Keyword:
|
partially ordered partial abelian monoids |
| Keyword:
|
effect algebras |
| Keyword:
|
MV-algebras |
| Keyword:
|
Riesz decomposition properties |
| Keyword:
|
short exact sequences |
| Keyword:
|
extensions |
| MSC:
|
03G12 |
| MSC:
|
06F15 |
| MSC:
|
20F60 |
| MSC:
|
81P10 |
| idZBL:
|
Zbl 1164.81300 |
| idMR:
|
MR2207012 |
| . |
| Date available:
|
2009-09-24T11:32:13Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128059 |
| . |
| Reference:
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