On relative universality and Q-universality |
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| Authors: | V. Koubek J. Sichler |
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| Affiliation: | (1) Department of Theoretical Computer Science and Institute of Theoretical Computer Science Faculty of Mathematics and Physics, Charles University, Malostranské nám. 25, 118 00 Praha 1, Czech Republic;(2) Department of Mathematics, University of Manitoba, R3T 2N2 Winnipeg, Manitoba, Canada |
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| Abstract: | Adams and Dziobiak proved that any finite-to-finite universal quasivariety must be Q-universal, and then asked whether a somewhat weaker hypothesis could lead to the same conclusion. We show that their original hypothesis cannot be weakened to its naturally extreme form.To Professor Ale Pultr on his 65th birthdayThe authors gratefully acknowledge the support of the NSERC of Canada, of the project LN00A056 of the Czech Ministry of Education, and also of the Grant Agency of Czech Republic under the grant 201/02/0148.Special issue of Studia Logica:  Algebraic Theory of Quasivarieties Presented byM. E. Adams, K. V. Adaricheva, W. Dziobiak, and A. V. Kravchenko |
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| Keywords: | distributive double p-algebra variety quasivariety Q-universality relative universality endomorphism monoid |
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