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International Conference on Modern Algebra in conjunction with the 17th annual Shanks Lectures
May 21-24, 2002
Vanderbilt University
Nashville, TN, USA

Organizers
Jonathan Farley, Ralph Freese, Matthew Gould, Peter Jipsen, George McNulty, Miklos Maroti, Alexander Ol'shanskii, Steven Tschantz, Constantine Tsinakis, Matthew Valeriote

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The variety generated by tournaments
by
Miklós Maróti
Vanderbilt University, Nashville TN, USA

We prove that every subdirectly irreducible member of the variety T generated by tournaments (commutative groupoids satisfying xy in {x, y}) is a tournament. This has many interesting consequences: The lattice of subvarieties of T is distributive. Every finitely generated subvariety of T is finitely based and has a finite residual bound.

Date received: January 6, 2002

Copyright © 2002 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 # caig-54.