1. Statisch pairs in atomistic posets
- Creator:
- Vaezi, Alireza and Kharat, Vilas
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- atomistic poset, statisch pair, and finite element
- Language:
- English
- Description:
- We introduce statisch pairs in atomistic posets and study its relationships with some known concepts in posets such as biatomic and dual modular pairs, perspectivity and subspaces of atom space of an atomistic poset. We generalize the notion of exchange property in posets and with the help of it we prove the equivalence of dual modular, biatomic and statisch pairs in atomistic posets. Also, we prove that the set of all finite elements of a statisch poset with such property forms an ideal. ∇-relation is partly studied by means of statisch pairs.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public