On the variety generated by all nilpotent lattice-ordered groups

Bludov, V.; Glass, A.

doi:10.1090/S0002-9947-06-03882-7

On the variety generated by all nilpotent lattice-ordered groups
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by V. V. Bludov and A. M. W. Glass PDF

Trans. Amer. Math. Soc. 358 (2006), 5179-5192 Request permission

Abstract:

In 1974, J. Martinez introduced the variety ${\mathcal W}$ of weakly Abelian lattice-ordered groups; it is defined by the identity \[ x^{-1}(y\vee 1)x\vee (y\vee 1)^2=(y\vee 1)^2.\]

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