Sequential convergences on lattice ordered groups
Czechoslovak Mathematical Journal, Tome 39 (1989) no. 2, pp. 232-238
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DOI : 10.21136/CMJ.1989.102298
Classification : 06F15
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Harminc, Matúš. Sequential convergences on lattice ordered groups. Czechoslovak Mathematical Journal, Tome 39 (1989) no. 2, pp. 232-238. doi: 10.21136/CMJ.1989.102298

[1] A. Bigard K. Keimel S. Wolfenstein: Groupes et Anneaux Réticulés. Springer-Verlag, Berlin-Heidelberg-New York 1977. | MR

[2] G. Birkhoff: Lattice Theory. Third ed., Amer. Math. Soc., Providence 1967. | MR | Zbl

[3] C. J. Everett S. Ulam: On ordered groups. Trans. Amer. Math. Soc. 57, 1945, 208-216. | DOI | MR

[4] R. Frič V. Koutník: Sequential convergence since Kanpur conference. General Topology and its Relations to Modern Analysis and Algebra V. (Proc. Fifth Prague Topological Sympos., 1981), Berlin 1982, 193-205. | MR

[5] R. Frič V. Koutník: Recent development in sequential convergence. Convergence Structures and Applications II. Berlin 1984, 37-46. | MR

[6] L. Fuchs: Partially ordered algebraic systems. Pergamon Press, Oxford 1963. | MR | Zbl

[7] M. Harminc: Sequential convergences on abelian lattice-ordered groups. Convergence Structures 1984 (Proc. Conf. on Convergence, Bechyně 1984). Akademie-Verlag Berlin, 1985, 153-158. | MR

[8] M. Harminc: The cardinality of the system of all sequential convergences on an abelian lattice ordered group. Czechoslovak Math. J. 37, 1987, 533-546. | MR

[9] M. Harminc: Convergences on lattice ordered groups. Dissertation. Math. Inst. Slovak Acad. Sci., 1986. (In Slovak.)

[10] J. Jakubík: Convergences and complete distributivity of lattice ordered groups. Math. Slovaca 38, 1988, 269- 272. | MR

[11] J. Novák: On convergence groups. Czechoslovak Math. J. 20, 1970, 357-374. | MR

[12] F. Papangelou: Order convergence and topological completion of commutative latticegroups. Math. Ann. 155, 1964, 81-107. | DOI | MR

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