Convergence $l$-groups with zero radical
Mathematica Bohemica, Tome 122 (1997) no. 1, pp. 63-73

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In this paper we investigate abelian convergence $\ell$-groups with zero radical such that each bounded sequence has a convergent subsequence.
In this paper we investigate abelian convergence $\ell$-groups with zero radical such that each bounded sequence has a convergent subsequence.
DOI : 10.21136/MB.1997.126180
Classification : 06F15, 06F20, 20F60, 22C05
Keywords: completely subdirect product; convergence $\ell$-group; $b$-sequential compactness
Jakubík, Ján. Convergence $l$-groups with zero radical. Mathematica Bohemica, Tome 122 (1997) no. 1, pp. 63-73. doi: 10.21136/MB.1997.126180
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[1] P. Conrad: Lateral completion of lattice ordered groups. Proc. London Math. Soc. 19 (1969), 444-480. | DOI | MR

[2] P. Conrad: Lattice ordered groups. Tulane University, 1970. | Zbl

[3] D. N. Dikranjan: Convergence groups: sequential compactness and generalizations. Rendinconti 1st. Math. Trieste 25 (1993), 141-173. | MR | Zbl

[4] M. Harminc: Sequential convergences on abelian lattice ordered groups. Convergence Structures, Proc. Conf. Bechyne 1984, Math. Research 24 (1984), 153-158. | MR

[5] M. Harminc J. Jakubík: Maximal convergences and minimal proper convergences in l-groups. Czechoslovak Math. J. 39 (1989), 631-640. | MR

[6] J. Jakubík: Sequential convergences in l-groups without Urysohn's axiom. Czechoslovak Math. J. 42 (1992), 101-116. | MR | Zbl

[7] F. Šik: Über subdirekte Summen geordneter Gruppen. Czechoslovak Math. J. 10 (1960), 400-424. | MR

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