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

共 50 条

[21] Convex Chains in a Pseudo MV-Algebra
Ján Jakubík
Czechoslovak Mathematical Journal, 2003, 53 : 113 - 125
[22] On Free MV-Algebras
J. Jakubík
Czechoslovak Mathematical Journal, 2003, 53 : 311 - 317
[23] Implication in MV-algebras
I. Chajda
R. Halaš
J. Kühr
algebra universalis, 2005, 52 : 377 - 382
[24] Representations of monadic MV -algebras
Belluce L.P.
Grigolia R.
Lettieri A.
Studia Logica, 2005, 81 (1) : 123 - 144
[25] Generalized MV-algebras
Galatos, N
Tsinakis, C
JOURNAL OF ALGEBRA, 2005, 283 (01) : 254 - 291
[26] MV-test spaces versus MV-algebras
Di Nola A.
Dvurečenskij A.
Czechoslovak Mathematical Journal, 2004, 54 (1) : 189 - 203
[27] MV-test spaces versus MV-algebras
Di Nola, A
Dvurecenskij, A
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2004, 54 (01) : 189 - 203
[28] PSEUDO ALGEBRAS AND PSEUDO DOUBLE CATEGORIES
Fiore, Thomas M.
JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 2007, 2 (02) : 119 - 170
[29] Direct summands and retract mappings of generalized MV-algebras
Ján Jakubík
Czechoslovak Mathematical Journal, 2008, 58
[30] On intervals and isometries of MV-algebras
Ján Jakubík
Czechoslovak Mathematical Journal, 2002, 52 : 651 - 663

← 1 2 3 4 5 →