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 iff V is neutral, iff M-3 is not a sublattice of Con A, for A is an element of V, iff there is a positive integer n such that V satisfies(Con) alpha(beta o gamma) less than or equal to alpha beta(n).

Lipparini, P. (1998). A characterization of varieties with a difference term, II: Neutral = meet semi-distributive. CANADIAN MATHEMATICAL BULLETIN, 41(3), 318-327.

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

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 iff V is neutral, iff M-3 is not a sublattice of Con A, for A is an element of V, iff there is a positive integer n such that V satisfies(Con) alpha(beta o gamma) less than or equal to alpha beta(n).
Scheda breve Scheda completa Scheda completa (DC)
1998
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/02 - ALGEBRA
English
Con Impact Factor ISI
AFFINE ALGEBRAS; CONGRUENCE
http://math.ca/cmb/abstract/pdf/148929.pdf
Lipparini, P. (1998). A characterization of varieties with a difference term, II: Neutral = meet semi-distributive. CANADIAN MATHEMATICAL BULLETIN, 41(3), 318-327.
Lipparini, P
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/2108/44047`
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