Quasivarieties of pseudo-MV-algebras

被引：0
|
作者：
O. A. Kuryleva
机构：
[1] Altai State University,
来源：
Siberian Mathematical Journal | 2008年 / 49卷
关键词：
lattice-ordered group; pseudo-; -algebra; quasivariety;
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摘要：
Denote by Υ1 the collection of quasivarieties of pseudo-MV-algebras; and by Υ2, the collection of quasivarieties of lattice-ordered groups. With respect to the set-theoretic inclusion, Υ1 and Υ2 are lattices. We note some properties of Υ1 and construct an injective mapping φ of Υ2 into Υ1 such that Z1⊆Z2⇔ϕ(Z1)⊆ϕ(Z2) for all Z1, Z2 ∈ Υ2.
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