Article

Algebra universalis

, Volume 68, Issue 3, pp 237-247

Open Access This content is freely available online to anyone, anywhere at any time.

On Cantor identities

  • Józef DudekAffiliated withInstitute of Mathematics and Computer Sciences, Wrocław University of Technology
  • , Adam W. MarczakAffiliated withInstitute of Mathematics and Computer Sciences, Wrocław University of Technology Email author 

Abstract

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