2025-02-22T10:17:56-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-146083%22&qt=morelikethis&rows=5
2025-02-22T10:17:56-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-146083%22&qt=morelikethis&rows=5
2025-02-22T10:17:56-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-22T10:17:56-05:00 DEBUG: Deserialized SOLR response
Archimedean atomic lattice effect algebras with complete lattice of sharp elements
We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice ef fect algebras. Moreover, we prove that if such effect algebra E is separable and modular then there exists...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2010
|
| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146083 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
irk-123456789-146083 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1460832019-02-08T01:24:21Z Archimedean atomic lattice effect algebras with complete lattice of sharp elements Riecanova, Z. We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice ef fect algebras. Moreover, we prove that if such effect algebra E is separable and modular then there exists a faithful state on E. Further, if an atomic lattice effect algebra is densely embeddable into a complete lattice effect algebra Eb and the compatibility center of E is not a Boolean algebra then there exists an (o)-continuous subadditive state on E. 2010 Article Archimedean atomic lattice effect algebras with complete lattice of sharp elements / Z. Riecanova // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 28 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 06C15; 03G12; 81P10 http://dspace.nbuv.gov.ua/handle/123456789/146083 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We study Archimedean atomic lattice effect algebras whose set of sharp elements
is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice ef fect algebras. Moreover, we prove that if such effect algebra E is separable and modular then there exists a faithful state on E. Further, if an atomic lattice effect algebra is densely embeddable into a complete lattice effect algebra Eb and the compatibility center of E is not a Boolean algebra then there exists an (o)-continuous subadditive state on E. |
| format |
Article |
| author |
Riecanova, Z. |
| spellingShingle |
Riecanova, Z. Archimedean atomic lattice effect algebras with complete lattice of sharp elements Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Riecanova, Z. |
| author_sort |
Riecanova, Z. |
| title |
Archimedean atomic lattice effect algebras with complete lattice of sharp elements |
| title_short |
Archimedean atomic lattice effect algebras with complete lattice of sharp elements |
| title_full |
Archimedean atomic lattice effect algebras with complete lattice of sharp elements |
| title_fullStr |
Archimedean atomic lattice effect algebras with complete lattice of sharp elements |
| title_full_unstemmed |
Archimedean atomic lattice effect algebras with complete lattice of sharp elements |
| title_sort |
archimedean atomic lattice effect algebras with complete lattice of sharp elements |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146083 |
| citation_txt |
Archimedean atomic lattice effect algebras with complete lattice of sharp elements / Z. Riecanova // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 28 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT riecanovaz archimedeanatomiclatticeeffectalgebraswithcompletelatticeofsharpelements |
| first_indexed |
2023-05-20T17:23:46Z |
| last_indexed |
2023-05-20T17:23:46Z |
| _version_ |
1796153199066873856 |