Sequential convergences on generalized Boolean algebras

Ján Jakubík

Mathematica Bohemica (2002)

  • Volume: 127, Issue: 1, page 1-14
  • ISSN: 0862-7959

Abstract

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In this paper we investigate convergence structures on a generalized Boolean algebra and their relations to convergence structures on abelian lattice ordered groups.

How to cite

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Jakubík, Ján. "Sequential convergences on generalized Boolean algebras." Mathematica Bohemica 127.1 (2002): 1-14. <http://eudml.org/doc/249020>.

@article{Jakubík2002,
abstract = {In this paper we investigate convergence structures on a generalized Boolean algebra and their relations to convergence structures on abelian lattice ordered groups.},
author = {Jakubík, Ján},
journal = {Mathematica Bohemica},
keywords = {generalized Boolean algebra; abelian lattice ordered group; sequential convergence; elementary Carathéodory functions; generalized Boolean algebra; abelian lattice ordered group; sequential convergence; elementary Carathéodory functions},
language = {eng},
number = {1},
pages = {1-14},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Sequential convergences on generalized Boolean algebras},
url = {http://eudml.org/doc/249020},
volume = {127},
year = {2002},
}

TY - JOUR
AU - Jakubík, Ján
TI - Sequential convergences on generalized Boolean algebras
JO - Mathematica Bohemica
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 127
IS - 1
SP - 1
EP - 14
AB - In this paper we investigate convergence structures on a generalized Boolean algebra and their relations to convergence structures on abelian lattice ordered groups.
LA - eng
KW - generalized Boolean algebra; abelian lattice ordered group; sequential convergence; elementary Carathéodory functions; generalized Boolean algebra; abelian lattice ordered group; sequential convergence; elementary Carathéodory functions
UR - http://eudml.org/doc/249020
ER -

References

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  2. Sequential convergences on abelian lattice-ordered groups, Convergence structures, 1984, Math. Research, Band vol. 24, Akademie Verlag, Berlin, 1985, pp. 153–158. (1985) Zbl0581.06009MR0835480
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  5. Sequential convergences in Boolean algebras, Czechoslovak Math. J. 38 (1988), 520–530. (1988) MR0950306
  6. Lattice ordered groups having a largest convergence, Czechoslovak Math. J. 39 (1989), 717–729. (1989) MR1018008
  7. Convergences and higher degrees of distributivity of lattice ordered groups and of Boolean algebras, Czechoslovak Math. J. 40 (1990), 453–458. (1990) MR1065024
  8. Sequential convergences on M V -algebras, Czechoslovak Math. J. 45 (1995), 709–726. (1995) MR1354928
  9. Disjoint sequences in Boolean algebras, Math. Bohem. 123 (1998), 411–418. (1998) MR1667113
  10. Intrinsic topology and completion of Boolean rings, Ann. Math. 43 (1941), 1138–1196. (1941) MR0006494
  11. On the convergence in σ -algebras of point-sets, Czechoslovak Math. J. 3 (1953), 291–296. (1953) 
  12. 10.1007/BF01344076, Math. Ann. 155 (1964), 81–107. (1964) Zbl0131.02601MR0174498DOI10.1007/BF01344076

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