| Title:
|
Sequential convergences in lattices (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
239-250 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The notion of sequential convergence on a lattice is defined in a natural way. In the present paper we investigate the system $Conv L$ of all sequential convergences on a lattice $L$. (English) |
| Keyword:
|
sequential convergence |
| Keyword:
|
multivalued convergence |
| Keyword:
|
lattice |
| Keyword:
|
distributive lattice |
| MSC:
|
06B30 |
| MSC:
|
22A26 |
| idZBL:
|
Zbl 0763.06002 |
| idMR:
|
MR1184537 |
| DOI:
|
10.21136/MB.1992.126289 |
| . |
| Date available:
|
2009-09-24T20:53:04Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126289 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice theory.Third edition, (Providence, eds.), 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] M. Harminc: Sequential convergences on abelian lattice-ordered groups.Conveгgence structures, 1984. Mathematical Research, Band 24, Akademie-Verlag Berlin (1985), 153-158. MR 0835480 |
| Reference:
|
[3] M. Harminc: Sequential convergences on lattice ordered gгoups.Czechoslovak Math. J. 39 (1989), 232-238. MR 0992130 |
| Reference:
|
[4] M. Harminc: The cardinality of the system of all sequential convergences on an abelian lattice ordered group.Czechoslovak Math. J. 57 (1987), 533-546. MR 0913986 |
| Reference:
|
[5] J. Jakubík: Convergences and complete distributivity of lattice ordered groups.Math. Slovaca 38 (1988), 269-272. MR 0977905 |
| Reference:
|
[6] J. Jakubík: Lattice ordered having a largest convergence.Czechoslovak Math. Ј. 39 (1989), 717-729. MR 1018008 |
| Reference:
|
[7] J. Jakubík: On some types of kernels of a convergence l-group.Czechoslovak Math. Ј. 39 (1989), 239-247. MR 0992131 |
| Reference:
|
[8] J. Jakubík: On summability in convergence l-gгoups.Časopis pěst. mat. 113 (1988), 286-292. MR 0960765 |
| Reference:
|
[9] J. Jakubík: Sequential convergences in Boolean algebras.Czechoslovak Math. Ј. 38 (1988), 520-530. MR 0950306 |
| Reference:
|
[10] P. Mikusiński: Problems posed at the conference.Proc. Conf. on Convergence, Szczyгk 1979, Katowice (1980), 110-112. |
| Reference:
|
[11] E. Pap: Funkcionalna analiza, nizovne konvergenciji, neki principi funkcionalne analize.Novi Sad (1982). MR 0683763 |
| . |
