Paper Info
Title
A Strong Property Of The Weak Subalgebra Lattice For Locally Finite Algebras Of Finite Type
Abstract
The aim of this paper is to show that the weak subalgebra lattice uniquely determines the subalgebra lattice for locally finite algebras of a fixed finite type. However, this algebraic result turns out to be a very particular case of the following hypergraph result (which is interesting itself): A total directed hypergraph D of finite type is uniquely determined, in the class of all the directed hypergraphs of this type, by its skeleton up to the orientation of some pairwise edge-disjoint directed hypercycles and hyperpaths. The skeleton of D is a hypergraph obtained from D by omitting the orientation of all edges.
Year
DOI
Venue
2013
10.1142/S0218196712500762
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
Keywords
Field
DocType
Subalgebra, subalgebra lattice, weak subalgebra, weak subalgebra lattice, directed hypergraph, hypergraph, hypergraph representation of algebra, partial algebra
Subalgebra,Discrete mathematics,Combinatorics,Algebraic number,Algebra,Boolean algebras canonically defined,Lattice (order),Cartan subalgebra,Hypergraph,Constraint graph,Fuzzy subalgebra,Mathematics
Journal
Volume
Issue
ISSN
23
1
0218-1967
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
Konrad Pióro1363.31