Convergence l -groups with zero radical

Ján Jakubík

Mathematica Bohemica (1997)

  • Volume: 122, Issue: 1, page 63-73
  • ISSN: 0862-7959

Abstract

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In this paper we investigate abelian convergence ℓ -groups with zero radical such that each bounded sequence has a convergent subsequence.

How to cite

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Jakubík, Ján. "Convergence $l$-groups with zero radical." Mathematica Bohemica 122.1 (1997): 63-73. <http://eudml.org/doc/248131>.

@article{Jakubík1997,
abstract = {In this paper we investigate abelian convergence $\ell $-groups with zero radical such that each bounded sequence has a convergent subsequence.},
author = {Jakubík, Ján},
journal = {Mathematica Bohemica},
keywords = {completely subdirect product; convergence $\ell $-group; $b$-sequential compactness; convergence -group; -sequentially compact; completely subdirect product},
language = {eng},
number = {1},
pages = {63-73},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Convergence $l$-groups with zero radical},
url = {http://eudml.org/doc/248131},
volume = {122},
year = {1997},
}

TY - JOUR
AU - Jakubík, Ján
TI - Convergence $l$-groups with zero radical
JO - Mathematica Bohemica
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 122
IS - 1
SP - 63
EP - 73
AB - In this paper we investigate abelian convergence $\ell $-groups with zero radical such that each bounded sequence has a convergent subsequence.
LA - eng
KW - completely subdirect product; convergence $\ell $-group; $b$-sequential compactness; convergence -group; -sequentially compact; completely subdirect product
UR - http://eudml.org/doc/248131
ER -

References

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  1. P. Conrad, 10.1112/plms/s3-19.3.444, Proc. London Math. Soc. 19 (1969), 444-480. (1969) MR0244125DOI10.1112/plms/s3-19.3.444
  2. P. Conrad, Lattice ordered groups, Tulane University, 1970. (1970) Zbl0258.06011
  3. D. N. Dikranjan, Convergence groups: sequential compactness and generalizations, Rendinconti 1st. Math. Trieste 25 (1993), 141-173. (1993) Zbl0846.54033MR1346320
  4. M. Harminc, Sequential convergences on abelian lattice ordered groups, Convergence Structures, Proc. Conf. Bechyne 1984, Math. Research 24 (1984), 153-158. (1984) MR0835480
  5. M. Harminc J. Jakubík, Maximal convergences and minimal proper convergences in l-groups, Czechoslovak Math. J. 39 (1989), 631-640. (1989) MR1017998
  6. J. Jakubík, Sequential convergences in l-groups without Urysohn's axiom, Czechoslovak Math. J. 42 (1992), 101-116. (1992) Zbl0770.06008MR1152174
  7. F. Šik, Über subdirekte Summen geordneter Gruppen, Czechoslovak Math. J. 10 (1960), 400-424. (1960) MR0123626

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