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Logic Journal of IGPL Advance Access published online on April 29, 2009
Logic Journal of IGPL, doi:10.1093/jigpal/jzp007
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© The Author 2009. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

On complete representations of algebras of logic

Mohamed Khaled and Tarek Sayed-Ahmed

Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt.
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  Abstract

We show that there exists an atomic polyadic equality algebra of dimension n that is elementary equivalent to a completely representable algebra, but its diagonal free reduct (obtained by deleting diagonals and substitutions) is not completely representable.

Received for publication 15 October 2008.
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