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Hyperidentities in Right Self-distributive Graph Algebras of Type (2,0).
- Source :
-
Southeast Asian Bulletin of Mathematics . 2008, Vol. 32 Issue 6, p1125-1136. 12p. - Publication Year :
- 2008
-
Abstract
- Graph algebras establish a connection between directed graphs without multiple edges and special universal algebras of type (2,0). We say that a graph G satisfies an identity s ≈ t if the corresponding graph algebra A(G)̲ satisfies s ≈ t. A graph G = (V;E) is called a right self-distributive graph if the graph algebra A(G)̲ satisfies the equation ((xy)z) ≈ ((xz)(yz)). An identity s ≈ t of terms s and t of any type τ is called a hyperidentity of an algebra A̲ if whenever the operation symbols occurring in s and t are replaced by any term operations of A̲ of the appropriate arity, the resulting identities hold in A̲. In this paper, we characterize right self-distributive graph algebras, identities and hyperidentities in right self-distributive graph algebras. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*GRAPH theory
*EQUATIONS
*MATHEMATICS
*NUMERICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 01292021
- Volume :
- 32
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Southeast Asian Bulletin of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 52416496