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Operads in Universal Algebra
by
Ewa Graczynska
Institute of Mathematics of the Technical University of Opole
We deal with tree operads and co-tree operads to express algebras and co-algebras.
We express identities and co-identities in this language. Our aim is to present some universal algebraic results via operads. We are mainly intersted in G. Birkhoff's type theorems, proofs of identities, and word problems. We formalize the notion of a graphical proof and express some completeness theorems on special types of identities graphically. The main idea is to popularize universal algebraic results to other specialists as well.
http://sci.po.opole.pl/~egracz
Date received: February 8, 2000
Copyright © 2000 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 # caee-02.