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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).

06F15 Ordered groups
20F60 Ordered groups (group-theoretic aspects)
08C15 Quasivarieties
Full Text: DOI
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