Sequential convergences on lattice ordered groups

 Access to full text

 Full (PDF)

1. A. Bigard K. Keimel S. Wolfenstein, Groupes et Anneaux Réticulés, Springer-Verlag, Berlin-Heidelberg-New York 1977. (1977) MR0552653
2. G. Birkhoff, Lattice Theory, Third ed., Amer. Math. Soc., Providence 1967. (1967) Zbl0153.02501MR0227053
3. C. J. Everett S. Ulam, 10.1090/S0002-9947-1945-0012285-5, Trans. Amer. Math. Soc. 57, 1945, 208-216. (1945) MR0012285DOI10.1090/S0002-9947-1945-0012285-5
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. (1981) MR0698413
5. R. Frič V. Koutník, Recent development in sequential convergence. Convergence Structures and Applications II, Berlin 1984, 37-46. (1984) MR0790150
6. L. Fuchs, Partially ordered algebraic systems, Pergamon Press, Oxford 1963. (1963) Zbl0137.02001MR0171864
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. (1984) MR0835480
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. (1987) MR0913986
9. M. Harminc, Convergences on lattice ordered groups, Dissertation. Math. Inst. Slovak Acad. Sci., 1986. (In Slovak.) (1986) 
10. J. Jakubík, Convergences and complete distributivity of lattice ordered groups, Math. Slovaca 38, 1988, 269- 272. (1988) MR0977905
11. J. Novák, On convergence groups, Czechoslovak Math. J. 20, 1970, 357-374. (1970) MR0263973
12. F. Papangelou, 10.1007/BF01344076, Math. Ann. 155, 1964, 81-107. (1964) MR0174498DOI10.1007/BF01344076

1. Ján Jakubík, Lattice ordered groups having a largest convergence
2. Ján Jakubík, Convergences and higher degrees of distributivity of lattice ordered groups and of Boolean algebras
3. Ján Jakubík, Principal convergences on lattice ordered groups
4. Ján Jakubík, Sequential convergences on pseudo MV-algebras
5. Ján Jakubík, Sequential convergences on $MV$-algebras
6. Matúš Harminc, Ján Jakubík, Maximal convergences and minimal proper convergences in $\ell$-groups
7. Ján Jakubík, On some types of kernels of a convergence $l$-group
8. Ján Jakubík, Sequential convergences on free lattice ordered groups
9. Ján Jakubík, Sequential convergences in lattices
10. Ján Jakubík, Sequential convergences in $\ell$-groups without Urysohn’s axiom