Publication:
No finite axiomatizations for posets embeddable into distributive lattices

Issued Date

2018-03-01

Resource Type

Article

ISSN

01680072

DOI

10.1016/j.apal.2017.11.001

Other identifier(s)

2-s2.0-85034769734

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Annals of Pure and Applied Logic. Vol.169, No.3 (2018), 235-242

Suggested Citation

Rob Egrot No finite axiomatizations for posets embeddable into distributive lattices. Annals of Pure and Applied Logic. Vol.169, No.3 (2018), 235-242. doi:10.1016/j.apal.2017.11.001 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/46106

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Title

No finite axiomatizations for posets embeddable into distributive lattices

Author(s)

Rob Egrot

Other Contributor(s)

Mahidol University

Abstract

© 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.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/46106

Collections

Scopus 2018