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;
D O I：
暂无
中图分类号：
学科分类号：
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.
引用
收藏
相关论文
共 50 条
  • [31] Isometries of generalized MV-algebras
    Ján Jakubík
    Czechoslovak Mathematical Journal, 2007, 57 : 161 - 171
  • [32] Boolean dominated MV-algebras
    L. P. Belluce
    A. Lettieri
    Soft Computing, 2005, 9 : 536 - 543
  • [33] On a homogeneity condition for MV-algebras
    Ján Jakubík
    Czechoslovak Mathematical Journal, 2006, 56 : 79 - 98
  • [34] On idempotent modifications of MV-algebras
    Ján Jakubík
    Czechoslovak Mathematical Journal, 2007, 57 : 243 - 252
  • [35] Filter topologies on MV-algebras
    Cuicui Luan
    Yichuan Yang
    Soft Computing, 2017, 21 : 2531 - 2535
  • [36] On direct limits of MV-algebras
    Haluskova, Emilia
    MATHEMATICA SLOVACA, 2010, 60 (06) : 839 - 846
  • [37] Holland’s theorem for pseudo-effect algebras
    Anatolij Dvurečenskij
    Czechoslovak Mathematical Journal, 2006, 56 : 47 - 59
  • [38] On idempotent modifications of generalized MV-algebras
    Jakubik, Jan
    MATHEMATICA SLOVACA, 2010, 60 (02) : 179 - 188
  • [39] On the variety of Gödel MV-algebras
    Antonio Di Nola
    Revaz Grigolia
    Gaetano Vitale
    Soft Computing, 2019, 23 : 12929 - 12935
  • [40] Higher Degrees of Distributivity in MV-Algebras
    Ján Jakubík
    Czechoslovak Mathematical Journal, 2003, 53 : 641 - 653
12345