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Towards Commutator theory for relations. IV

2006/12/17 by Paolo Lipparini, Lipparini, Paolo
Mathematics · #08A99 #08B99 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:08A99 #msc:08B99

paper · pdf · doi:10.48550/arxiv.math/0612483

6 pages

arxiv created 2006/12/17 · arxiv updated 2009/12/01

Abstract

We provide more characterizations of varieties having a term Mal'cev modulo two functions F and G. We characterize varieties neutral in the sense of F, that is varieties satisfying R ⊆ F(R). We present examples of global operators satisfying the homomorphism property, in particular we show that many known commutators satisfy the homomorphism property.

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