On Cantor identities
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- Dudek, J. & Marczak, A.W. Algebra Univers. (2012) 68: 237. doi:10.1007/s00012-012-0204-1
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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 ClassificationPrimary: 08A05Secondary: 08B20
Keywords and phrasesCantor identitiesJónsson-Tarski algebradiagonal algebraterm infinite algebrareduct of an algebraclone equivalence of algebras
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