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AAA76 - 76th Workshop on General Algebra (76. Arbeitstagung Allgemeine Algebra)
May 22-25, 2008
Department of Algebra, Johannes Kepler University Linz
Linz, Austria |
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Organizers
Erhard Aichinger, Peter Mayr, Matt Nickodemus, Günter Pilz
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IDENTITIES IN BIREGULAR LEFTMOST GRAPH VARIETIES OF TYPE (2, 0)
by
Prof. Apinant Anantpinitwatna
Department of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham 44150, Thailand
Coauthors: Prof. Tiang Poomsa-ard
IDENTITIES IN BIREGULAR LEFTMOST GRAPH VARIETIES OF TYPE (2, 0)
IDENTITIES IN BIREGULAR LEFTMOST GRAPH VARIETIES OF TYPE (2, 0)
Apinant Anantpinitwatna and Tiang Poomsa-ard
Department of Mathematics, Faculty of Science,
Mahasarakham University, Mahasarakham 44150, Thailand
E-mail: tiang@kku.ac.th
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 a term equation s ≈ t
if the corresponding graph algebra A(G) satisfies s ≈ t. A class of graph algebras V is called a graph
variety if V = Modg S where S is a subset of T(X)×T(X). A graph variety V' = ModgS' is called a
biregular leftmost graph variety if S' is a set of
biregular leftmost term equations. A term equation s ≈ t is called an
identity in a variety V if G satisfies s ≈ t for all G ∈ V.
In this paper we characterize identities in each biregular
leftmost graph varieties of graph algebras.
Date received: March 18, 2008
Copyright © 2008 by the author(s).
The author(s) of this document and the organizers of the conference
have granted their consent to include this abstract in
Atlas Conferences Inc.
Document # cawc-20.