Sequential convergences in distributive lattices

Ján Jakubík

Mathematica Bohemica (1994)

  • Volume: 119, Issue: 3, page 245-254
  • ISSN: 0862-7959

Abstract

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In this paper we investigate the system Conv L of all sequential convergences on a distributive lattice L .

How to cite

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Jakubík, Ján. "Sequential convergences in distributive lattices." Mathematica Bohemica 119.3 (1994): 245-254. <http://eudml.org/doc/29320>.

@article{Jakubík1994,
abstract = {In this paper we investigate the system Conv $L$ of all sequential convergences on a distributive lattice $L$.},
author = {Jakubík, Ján},
journal = {Mathematica Bohemica},
keywords = {sequential convergence; distributive lattice; lattice; sequential convergence; distributive lattice},
language = {eng},
number = {3},
pages = {245-254},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Sequential convergences in distributive lattices},
url = {http://eudml.org/doc/29320},
volume = {119},
year = {1994},
}

TY - JOUR
AU - Jakubík, Ján
TI - Sequential convergences in distributive lattices
JO - Mathematica Bohemica
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 119
IS - 3
SP - 245
EP - 254
AB - In this paper we investigate the system Conv $L$ of all sequential convergences on a distributive lattice $L$.
LA - eng
KW - sequential convergence; distributive lattice; lattice; sequential convergence; distributive lattice
UR - http://eudml.org/doc/29320
ER -

References

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  2. R. Ball G. Davis, The α -completion of a lattice ordered group, Czechoslovak Math. J. 33 (1983), 111-118. (1983) MR0687423
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  5. R. Frič, Products of coarse convergence groups, Czechoslovak Math. J. 38 (1988), 285-290. (1988) MR0946298
  6. M. Harminc J. Jakubík, Maximal convergences and minimal propeг convergences in l-groups, Czechoslovak Math. J. 39 (1989), 631-640. (1989) MR1017998
  7. J. Jakubík, Convergences and higher degгees of distributivity in lattice ordered groups and in Boolean algebras, Czechoslovak Math. Ј. 40 (1990), 453-458. (1990) MR1065024
  8. J. Jakubík, Sequential conveгgences in lattices, Math. Bohemica 117 (1992), 239-250. (1992) MR1184537
  9. P: Mikusiński, Рroblems posed at the conference, Proc. Conf. on Convergence, Szczyrk 1979; Katowice 1980, 110-112. (1979) MR0639325
  10. E. Pap, Funkcionalna analiza, nizovne konvergenciji, neki principi funkcionalne analize, Novi Sad, 1982. (1982) MR0683763

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