No finite axiomatizations for posets embeddable into distributive lattices
© 2017 Elsevier B.V. Let m and n be cardinals with 3≤m,n≤ω. We show that the class of posets that can be embedded into a distributive lattice via a map preserving all existing meets and joins with cardinalities strictly less than m and n respectively cannot be finitely axiomatized.
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Article |
| Published: |
2019
|
| Subjects: | |
| Online Access: | https://repository.li.mahidol.ac.th/handle/123456789/46106 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Mahidol University |
| id |
th-mahidol.46106 |
|---|---|
| record_format |
dspace |
| spelling |
th-mahidol.461062019-08-23T18:30:38Z No finite axiomatizations for posets embeddable into distributive lattices Rob Egrot Mahidol University Mathematics © 2017 Elsevier B.V. Let m and n be cardinals with 3≤m,n≤ω. We show that the class of posets that can be embedded into a distributive lattice via a map preserving all existing meets and joins with cardinalities strictly less than m and n respectively cannot be finitely axiomatized. 2019-08-23T11:30:38Z 2019-08-23T11:30:38Z 2018-03-01 Article Annals of Pure and Applied Logic. Vol.169, No.3 (2018), 235-242 10.1016/j.apal.2017.11.001 01680072 2-s2.0-85034769734 https://repository.li.mahidol.ac.th/handle/123456789/46106 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85034769734&origin=inward |
| institution |
Mahidol University |
| building |
Mahidol University Library |
| continent |
Asia |
| country |
Thailand Thailand |
| content_provider |
Mahidol University Library |
| collection |
Mahidol University Institutional Repository |
| topic |
Mathematics |
| spellingShingle |
Mathematics Rob Egrot No finite axiomatizations for posets embeddable into distributive lattices |
| description |
© 2017 Elsevier B.V. Let m and n be cardinals with 3≤m,n≤ω. We show that the class of posets that can be embedded into a distributive lattice via a map preserving all existing meets and joins with cardinalities strictly less than m and n respectively cannot be finitely axiomatized. |
| author2 |
Mahidol University |
| author_facet |
Mahidol University Rob Egrot |
| format |
Article |
| author |
Rob Egrot |
| author_sort |
Rob Egrot |
| title |
No finite axiomatizations for posets embeddable into distributive lattices |
| title_short |
No finite axiomatizations for posets embeddable into distributive lattices |
| title_full |
No finite axiomatizations for posets embeddable into distributive lattices |
| title_fullStr |
No finite axiomatizations for posets embeddable into distributive lattices |
| title_full_unstemmed |
No finite axiomatizations for posets embeddable into distributive lattices |
| title_sort |
no finite axiomatizations for posets embeddable into distributive lattices |
| publishDate |
2019 |
| url |
https://repository.li.mahidol.ac.th/handle/123456789/46106 |
| _version_ |
1763487612994060288 |