Varieties of half lattice-ordered groups of monotonic permutations of chains
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 4, pp. 743-766 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Giraudet, Michèle; Rachůnek, Jiří. Varieties of half lattice-ordered groups of monotonic permutations of chains. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 4, pp. 743-766. http://geodesic.mathdoc.fr/item/CMJ_1999_49_4_a6/

[A-F] M. Anderson and T. Feil: Lattice-Ordered Groups (An Introduction). Reidel, Dordrecht-Boston-Lancaster-Tokyo, 1988. | MR

[B-S] S. Burris and H. P. Sankappanavar: A Course in Universal ALgebra. Springer, New York-Heidelberg-Berlin, 1981. | MR

[G$\ell $-Ho-Mc] A. M. W. Glass, W. C. Holland and S. H. McCleary: The structure of $\ell $-group varieties. Alg. Univ. 10 (1980), 1–20. | DOI | MR

[Gi-L] M. Giraudet and F. Lucas: Groupes à moitié ordonnés. Fund. Math. 139 (1991), 75–89. | DOI | MR

[Ho1] W. C. Holland: The lattice-ordered group of automorphisms of an ordered set. Michigan Math. J. 10 (1963), 399–408. | DOI | MR

[Ho2] W. C. Holland: The largest proper variety of lattice-ordered groups. Proc. Amer. Math. Soc. 57 (1976), 25–28. | DOI | MR | Zbl

[Ho3] W. C. Holland: Varieties of $\ell $-groups are torsion classes. Czechoslovak Math. J. 29(104) (1979), 11–12. | MR

[Hu-Re] M. E. Huss and N. R. Reilly: On reversing the order of a lattice-ordered group. J. Algebra 91 (1984), 176–191. | DOI | MR

[K-M1] V. M. Kopytov and N. Ya. Medvedev: On varieties of lattice ordered groups. Alg. i Log. 10 (1977), 417–423. | MR

[K-M2] V. M. Kopytov and N. Ya. Medvedev: The Theory of Lattice Ordered Groups. Kluwer Acad. Publ., Dordrecht, 1994. | MR

[Ma1] J. Martinez: Varieties of lattice ordered groups. Math. Zeit. 137 (1974), 265–284. | DOI | MR | Zbl

[Ma2] J. Martinez: Torsion theory for lattice-ordered groups. Czechoslovak Math. J. 25(100) (1975), 284–299. | MR | Zbl

[Ra] M. Rabin: Universal groups of automorphisms of models. Proc. of the 1963 Int. Symp. at Berkeley, J. W. Addison, L. Henkin and A. Tarski (eds.), North Holland, Amsterdam, 1965, pp. 274–284. | MR | Zbl

[Re] N. R. Reilly: Varieties of lattice-ordered groups. Lattice-Ordered Groups (Advances and techniques), A. M. W. Glass and W. C. Holland (eds.), Kluwer, Dordrecht-Boston-London, 1989, pp. 228–277. | MR