- Tytuł:
- Hyperidentities in transitive graph algebras
- Autorzy:
-
Poomsa-ard, Tiang
Wetweerapong, Jeerayut
Samartkoon, Charuchai - Powiązania:
- https://bibliotekanauki.pl/articles/729103.pdf
- Data publikacji:
- 2005
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
identity
hyperidentity
term
normal form term
binary algebra
graph algebra
transitive graph algebra - Opis:
-
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 transitive graph if the corresponding graph algebra A(G) satisfies the equation x(yz) ≈ (xz)(yz). An identity s ≈ t of terms s and t of any type t 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 A of the appropriate arity, the resulting identities hold in A̲ .
In this paper we characterize transitive graph algebras, identities and hyperidentities in transitive graph algebras. - Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2005, 25, 1; 23-37
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł