December 2012, Volume 68, Issue 3-4, pp 237-247,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 19 Oct 2012
On Cantor identities
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.
Presented by E. Kiss.
Józef Dudek died unexpectedly in 2008. Some ideas of this paper are based on his suggestions.
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- On Cantor identities
- Open Access
- Available under Open Access This content is freely available online to anyone, anywhere at any time.
Volume 68, Issue 3-4 , pp 237-247
- Cover Date
- Print ISSN
- Online ISSN
- SP Birkhäuser Verlag Basel
- Additional Links
- Primary: 08A05
- Secondary: 08B20
- Cantor identities
- Jónsson-Tarski algebra
- diagonal algebra
- term infinite algebra
- reduct of an algebra
- clone equivalence of algebras