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On the variety generated by all nilpotent lattice-ordered groups
Authors:V V Bludov  A M W Glass
Institution:Institute of Mathematics and Economics, Irkutsk State University, Irkutsk, 664003 Russia ; Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, Wilberforce Rd., Cambridge CB3 0WB, England
Abstract:In 1974, J. Martinez introduced the variety $ {\mathcal W}$ of weakly Abelian lattice-ordered groups; it is defined by the identity

$\displaystyle x^{-1}(y\vee 1)x\vee (y\vee 1)^2=(y\vee 1)^2.$

Keywords:Nilpotent group  residually torsion-free-nilpotent  variety  quasi-variety  commutator calculus  lattice-ordered group  weakly Abelian
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