Title:
|
Sequential convergences in Boolean algebras (English) |
Author:
|
Jakubík, Ján |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
38 |
Issue:
|
3 |
Year:
|
1988 |
Pages:
|
520-530 |
. |
Category:
|
math |
. |
MSC:
|
06E99 |
idZBL:
|
Zbl 0668.54002 |
idMR:
|
MR950306 |
DOI:
|
10.21136/CMJ.1988.102248 |
. |
Date available:
|
2008-06-09T15:23:01Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102248 |
. |
Reference:
|
[1] 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:
|
[2] M. Harminc: The cardinality of the system of all sequential convergences on an abelian lattice ordered group.Czechoslov. Math. J. 37, 1987, 533-546. MR 0913986 |
Reference:
|
[3] M. Harminc: Convergences on lattice ordered groups.Dissertation, Math. Inst. Slovak Acad. Sci., 1986 (In Slovak.) |
Reference:
|
[4] J. Jakubík: Convergences and higher degrees of distributivity of lattice ordered groups.Math. Slovaca 38, 1988, 269-272. MR 0977905 |
Reference:
|
[5] H. Löwig: Intrinsic topology and completion of Boolean rings.Ann. Math. 42, 1941, 1138 to 1196. MR 0006494, 10.2307/1970464 |
Reference:
|
[6] J. D. Monk: Cardinal functions on Boolean algebras.Ann. of Discrete Math. 23, 9-38. Zbl 0706.06009, MR 0779843 |
Reference:
|
[7] J. Novák M. Novotný: On the convergence in $\sigma$-algebras of point-sets.Czechoslov. Math. J. 3, 1953, 291-296. MR 0060572 |
Reference:
|
[8] F. Papangelou: Order convergence and topological completion of commutative lattice-groups.Math. Ann. 155, 1964, 81-107. Zbl 0131.02601, MR 0174498, 10.1007/BF01344076 |
Reference:
|
[9] R. S. Pierce: Some questions about complete Boolean algebras.Proc. Symp. Pure Math., Vol. II, Lattice theory. Amer. Math. Soc., 1961, 129-160. Zbl 0101.27104, MR 0138570 |
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