On some types of kernels of a convergence $l$-group

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1. J. Burzyk, The example of FLUSHD convergence without Y. Convergence structures, Proc. Conf. Bechyně (1984), Math. Research 24, Akademie-Verlag, Berlin, 1985. (1984) MR0835471
2. P. Conrad, Lattice ordered groups, Tulane University, 1970. (1970) Zbl0258.06011
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 P. Vojtáš, Diagonal conditions in sequential convergence, Convergence structures, Proc. Conf. Bechyně (1984), Math. Research 24, Akademie-Verlag, Berlin 1985. (1984) MR0835474
5. M. Harminc, Sequential convergence on abelian lattice-ordered groups, Convergence structures 1984. Mathem. Research, Band 24, Akademie Verlag, Berlin, 153-158. (1984) MR0835480
6. M. Harminc, The cardinality of the system of all convergences on an abelian lattice ordered group, Czechoslov. Math. J. 37, 1987, 533-546. (1987) MR0913986
7. M. Harminc, Sequential convergences on lattice ordered groups, Czechoslov. Math. J. (submitted). MR0992130
8. M. Harminc, Convergences on lattice ordered groups, Dissertation, Math. Inst. Slovak Acad. Sci., 1986. (In Slovak.) (1986) 
9. J. Jakubík, Kernels of lattice ordered groups defined by properties of sequences, Čas. pěst. matem. 109, 1984, 290-298. (1984) MR0755595
10. J. Jakubík, Convergences and complete distributivity of lattice ordered groups, Math. Slovaca 38, 1988, 269-272. (1988) MR0977905
11. J. Jakubík, On summability in convergence $l$-groups, Čas. pěst. matem. 113, 1988, 286-292. (1988) MR0960765
12. A. Kamiński, On characterization of topological convergence, Proc. Conf. on Convergence, Szczyrk (1979), Katowice 1980, 50-70. (1979) MR0639315
13. B. M. Копытов, Решеточно упорядоченные группы, Москва 1984. (1984) Zbl1170.01392
14. Р. Kratochvíl, Sequential convergences generated by coneighborhoods and an example of $D$ not $Y$ space, Czechoslov. Math. J. (to appear). 
15. W. A. J. Luxemburg A. C. Zaanen, Riesz Spaces, Vol. I, Amsterdam 1971. (1971) MR0511676
16. P. Mikusiński J. Pochcial, On Mackey convergence, Bull.Polish. Acad. Sci. Vol. 31 (1983), 151-155. (1983) MR0742800
17. J. Novák, On convergence groups, Czechoslov. Math. J. 20, 1970, 357-374. (1970) MR0263973
18. J. Novák L. Mišík, On $L$-spaces of continuous functions, Matem. fyz. sborník 1, 1951, 1-17. (In Slovak.) (1951) MR0060213
19. E. Pap, Funkcionalna analiza, nizovne konvergencije, neki principi funkcionalen analize, Novi Sad 1982. (1982) MR0683763
20. F. Papangelou, 10.1007/BF01344076, Math. Ann. 155, 1964, 81-107. (1964) MR0174498DOI10.1007/BF01344076
21. J. Pochcial, An example of FLUSHK-convergence semigroup without $M$-property, Proc. Conference of Convergence, Szczyrk 1979, 95-96 (1980). (1979) MR0639322
22. J. Pochcial, On functional convergences, Rend.Ist. Matem. Univ. Trieste, 17, 1985, 47-54. (1985) Zbl0606.54002MR0863555
23. Б. 3. Вулих, Введение в теорию полуупорядоченных пространств, Москва 1961. (1961) Zbl1160.68305

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