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Continual series of minimal quasivarieties of $$\ell$$-groups. (English. Russian original) Zbl 0808.06016
Sib. Math. J. 34, No. 4, 628-635 (1993); translation from Sib. Mat. Zh. 34, No. 4, 41-49 (1993).
In this paper the continual series of $$\ell$$-quasivarieties minimal over the $$\ell$$-variety $${\mathfrak A}_ \ell$$ of Abelian $$\ell$$-groups is constructed. All these $$\ell$$-quasivarieties are generated by totally ordered free groups and are weakly Abelian (Theorems 2, 3).

MSC:
 06F15 Ordered groups 20F60 Ordered groups (group-theoretic aspects) 08C15 Quasivarieties
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References:
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