| Title:
|
On some types of kernels of a convergence $l$-group (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
2 |
| Year:
|
1989 |
| Pages:
|
239-247 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| MSC:
|
06F20 |
| idZBL:
|
Zbl 0748.06006 |
| idMR:
|
MR992131 |
| DOI:
|
10.21136/CMJ.1989.102299 |
| . |
| Date available:
|
2008-06-09T15:26:44Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102299 |
| . |
| Reference:
|
[1] J. Burzyk: The example of FLUSHD convergence without Y. Convergence structures.Proc. Conf. Bechyně (1984), Math. Research 24, Akademie-Verlag, Berlin, 1985. MR 0835471 |
| Reference:
|
[2] P. Conrad: Lattice ordered groups.Tulane University, 1970. Zbl 0258.06011 |
| Reference:
|
[3] C. J. Everett S. Ulam: On ordered groups.Trans. Amer. Math. Soc. 57, 1945, 208-216. MR 0012285, 10.1090/S0002-9947-1945-0012285-5 |
| Reference:
|
[4] R. Frič P. Vojtáš: Diagonal conditions in sequential convergence.Convergence structures, Proc. Conf. Bechyně (1984), Math. Research 24, Akademie-Verlag, Berlin 1985. MR 0835474 |
| Reference:
|
[5] M. Harminc: Sequential convergence on abelian lattice-ordered groups.Convergence structures 1984. Mathem. Research, Band 24, Akademie Verlag, Berlin, 153-158. MR 0835480 |
| Reference:
|
[6] M. Harminc: The cardinality of the system of all convergences on an abelian lattice ordered group.Czechoslov. Math. J. 37, 1987, 533-546. MR 0913986 |
| Reference:
|
[7] M. Harminc: Sequential convergences on lattice ordered groups.Czechoslov. Math. J. (submitted). MR 0992130 |
| Reference:
|
[8] M. Harminc: Convergences on lattice ordered groups.Dissertation, Math. Inst. Slovak Acad. Sci., 1986. (In Slovak.) |
| Reference:
|
[9] J. Jakubík: Kernels of lattice ordered groups defined by properties of sequences.Čas. pěst. matem. 109, 1984, 290-298. MR 0755595 |
| Reference:
|
[10] J. Jakubík: Convergences and complete distributivity of lattice ordered groups.Math. Slovaca 38, 1988, 269-272. MR 0977905 |
| Reference:
|
[11] J. Jakubík: On summability in convergence $l$-groups.Čas. pěst. matem. 113, 1988, 286-292. MR 0960765 |
| Reference:
|
[12] A. Kamiński: On characterization of topological convergence.Proc. Conf. on Convergence, Szczyrk (1979), Katowice 1980, 50-70. MR 0639315 |
| Reference:
|
[13] B. M. Копытов: Решеточно упорядоченные группы.Москва 1984. Zbl 1170.01392 |
| Reference:
|
[14] Р. Kratochvíl: Sequential convergences generated by coneighborhoods and an example of $D$ not $Y$ space.Czechoslov. Math. J. (to appear). |
| Reference:
|
[15] W. A. J. Luxemburg A. C. Zaanen: Riesz Spaces.Vol. I, Amsterdam 1971. MR 0511676 |
| Reference:
|
[16] P. Mikusiński J. Pochcial: On Mackey convergence.Bull.Polish. Acad. Sci. Vol. 31 (1983), 151-155. MR 0742800 |
| Reference:
|
[17] J. Novák: On convergence groups.Czechoslov. Math. J. 20, 1970, 357-374. MR 0263973 |
| Reference:
|
[18] J. Novák L. Mišík: On $L$-spaces of continuous functions.Matem. fyz. sborník 1, 1951, 1-17. (In Slovak.) MR 0060213 |
| Reference:
|
[19] E. Pap: Funkcionalna analiza, nizovne konvergencije, neki principi funkcionalen analize.Novi Sad 1982. MR 0683763 |
| Reference:
|
[20] F. Papangelou: Order convergence and topological completion of commutative latticegroups.Math. Ann. 155, 1964, 81-107. MR 0174498, 10.1007/BF01344076 |
| Reference:
|
[21] J. Pochcial: An example of FLUSHK-convergence semigroup without $M$-property.Proc. Conference of Convergence, Szczyrk 1979, 95-96 (1980). MR 0639322 |
| Reference:
|
[22] J. Pochcial: On functional convergences.Rend.Ist. Matem. Univ. Trieste, 17, 1985, 47-54. Zbl 0606.54002, MR 0863555 |
| Reference:
|
[23] Б. 3. Вулих: Введение в теорию полуупорядоченных пространств.Москва 1961. Zbl 1160.68305 |
| . |
