| Title:
|
Maximal convergences and minimal proper convergences in $\ell$-groups (English) |
| Author:
|
Harminc, Matúš |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
1989 |
| Pages:
|
631-640 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| MSC:
|
22A10 |
| idZBL:
|
Zbl 0703.06011 |
| idMR:
|
MR1017998 |
| DOI:
|
10.21136/CMJ.1989.102339 |
| . |
| Date available:
|
2008-06-09T15:29:48Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102339 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice theory.Third edition, Providence, 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] A. Bigard K. Keimel S. Wolfenstein: Groupes et Anneaux Réticulés.Lecture Notes in Math., No. 608, Springer-Verlag, Berlin-Heidelberg-New York, 1977. MR 0552653 |
| Reference:
|
[3] P. F. Conrad: Lattice-ordered groups.Tulane University, 1970. Zbl 0258.06011 |
| Reference:
|
[4] D. Dikranjan R. Frič F. Zanolin: On convergence groups with dense coarse subgroups.Czechoslovak Math. J. 37, 1987, 471-479. MR 0904771 |
| Reference:
|
[5] D. Doitchinov: Produits de groupes topologiques minimaux.Bull. Sci. Math. 97, 1972, 59-64. Zbl 0236.22002, MR 0308323 |
| Reference:
|
[6] С. 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:
|
[7] R. Frič: Products of coarse convergence groups.Czechoslovak Math. J. 38, 1988, 285-290. MR 0946298 |
| Reference:
|
[8] M. Harminc: Sequential convergences on abelian lattice ordered groups.Convergence structures 1984. Mathematical Research, Band 24, Akademie-Verlag, Berlin, 1985, 153-158. MR 0835480 |
| Reference:
|
[9] M. Harminc: Convergences on lattice ordered groups.Dissertation, Math. Inst. Acad. Sci., Bratislava, 1986. (In Slovak.) |
| Reference:
|
[10] M. Harminc: Cardinality of the system of all sequential convergences on an abelian lattice ordered group.Czechoslovak Math. J. 37, 1987, 533-546. Zbl 0645.06006, MR 0913986 |
| Reference:
|
[11] M. Harminc: Sequential convergences on lattice ordered groups.Czechoslovak Math. J. 39, 1989, 232-238. MR 0992130 |
| Reference:
|
[12] J. Jakubík: On summability in convergence $l$-groups.Čas. pěst. mat. 113, 1988, 286-292. MR 0960765 |
| Reference:
|
[13] J. Jakubík: Lattice ordered groups having a largest convergence.Czechoslov. Math. J. 39, 1989, 717-729. MR 1018008 |
| Reference:
|
[14] J. Jakubík: Convergences and complete distributivity of lattice ordered groups.Math. Slovaca 38, 1988, 269-272. MR 0977905 |
| Reference:
|
[15] P. Mikusiński: Problems posed at the conference.Proc. Conf. on Convergence, Szczyrk 1979, Katowice 1980, 110-112. MR 0639325 |
| Reference:
|
[16] E. Pap: Funkcionalna analiza, nizovne konvergenciji, neki principi funkcionalne analize.Novi Sad, 1982. MR 0683763 |
| Reference:
|
[17] F. Papangelou: Order convergence and topological completion of commutative latticegroups.Math. Ann. 155, 1964, 81-107. MR 0174498, 10.1007/BF01344076 |
| . |
