Search

Start Over Coverage 171-181

2. On subalgebra lattices of a finite unary algebra. II.

Creator:
Pióro, Konrad
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
graph, finite unary algebra, partial algebra, subalgebras, and subalgebra lattices
Language:
English
Description:
We use graph-algebraic results proved in [8] and some results of the graph theory to characterize all pairs ⟨L1, L2⟩ of lattices for which there is a finite partial unary algebra such that its weak and strong subalgebra lattices are isomorphic to L1 and L2, respectively. Next, we describe other pairs of subalgebra lattices (weak and relative, etc.) of a finite unary algebra. Finally, necessary and sufficient conditions are found for quadruples ⟨L1, L2, L3, L4⟩ of lattices for which there is a finite unary algebra having its weak, relative, strong subalgebra and initial segment lattices isomorphic to L1, L2, L3, L4, respectively.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public