Algebra universalis

, Volume 68, Issue 3, pp 237–247

On Cantor identities

Open Access

DOI: 10.1007/s00012-012-0204-1

Cite this article as:
Dudek, J. & Marczak, A.W. Algebra Univers. (2012) 68: 237. doi:10.1007/s00012-012-0204-1


In this paper, some special varieties which generalize Jónsson–Tarski algebras are considered. We prove that every nontrivial algebra from such a variety is term infinite and contains infinitely many distinct proper diagonal term operations of every arity.

2010 Mathematics Subject Classification

Primary: 08A05 Secondary: 08B20 

Keywords and phrases

Cantor identities Jónsson-Tarski algebra diagonal algebra term infinite algebra reduct of an algebra clone equivalence of algebras 
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Copyright information

© The Author(s) 2012

Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.

Authors and Affiliations

  1. 1.Institute of Mathematics and Computer SciencesWrocław University of TechnologyWrocławPoland

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