1. Reflexivity of bilattices
- Creator:
- Kliś-Garlicka, Kamila
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- reflexive algebra, reflexive lattice, subspace lattice, and bilattice
- Language:
- English
- Description:
- We study reflexivity of bilattices. Some examples of reflexive and non-reflexive bilattices are given. With a given subspace lattice $\mathcal {L}$ we may associate a bilattice $\Sigma _{\mathcal {L}}$. Similarly, having a bilattice $\Sigma $ we may construct a subspace lattice $\mathcal {L}_{\Sigma }$. Connections between reflexivity of subspace lattices and associated bilattices are investigated. It is also shown that the direct sum of any two bilattices is never reflexive.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public