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A characterization of varieties with a difference term, II: neutral $=$ meet semi-distributive

  Published:1998-09-01
 Printed: Sep 1998
  • Paolo Lipparini
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Abstract

We provide more characterizations of varieties with a weak difference term and of neutral varieties. We prove that a variety has a (weak) difference term (is neutral) with respect to the TC-commutator iff it has a (weak) difference term (is neutral) with respect to the linear commutator. We show that a variety \v\ is congruence meet semi-distributive i{f}f \v\ is neutral, i{f}f $M_3$ is not a sublattice of \con a, for ${\bf A} \in \v$, i{f}f there is a positive integer $n$ such that $\v \smc \a(\b\o\g)\leq\alpha \beta_n$.
MSC Classifications: 08B05, 08B99 show english descriptions Equational logic, Mal'cev (Mal'tsev) conditions
None of the above, but in this section
08B05 - Equational logic, Mal'cev (Mal'tsev) conditions
08B99 - None of the above, but in this section
 

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