Geodesic
A Characterization of Varieties with a Difference Term, II: Neutral = Meet Semi-Distributive
Canadian mathematical bulletin, Tome 41 (1998) no. 3, pp. 318-327

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DOI

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 $\text{TC}$ -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 iff $V$ is neutral, iff ${{M}_{3}}$ is not a sublattice of Con $\mathbf{A}$ , for $\mathbf{A}\in V$ , iff there is a positive integer $n$ such that $V{{\vDash }_{Con}}\alpha (\beta \,o\,\gamma )\le \alpha {{\beta }_{n}}$ .
DOI : 10.4153/CMB-1998-044-9
Mots-clés : 08B05, 08B99 
Lipparini, Paolo. A Characterization of Varieties with a Difference Term, II: Neutral = Meet Semi-Distributive. Canadian mathematical bulletin, Tome 41 (1998) no. 3, pp. 318-327. doi: 10.4153/CMB-1998-044-9
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     title = {A {Characterization} of {Varieties} with a {Difference} {Term,} {II:} {Neutral} = {Meet} {Semi-Distributive}},
     journal = {Canadian mathematical bulletin},
     pages = {318--327},
     year = {1998},
     volume = {41},
     number = {3},
     doi = {10.4153/CMB-1998-044-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-044-9/}
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