Maximal convergences and minimal proper convergences in $\ell$-groups
Czechoslovak Mathematical Journal, Tome 39 (1989) no. 4, pp. 631-640
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DOI : 10.21136/CMJ.1989.102339
Classification : 06F15, 22A10
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Harminc, Matúš; Jakubík, Ján. Maximal convergences and minimal proper convergences in $\ell$-groups. Czechoslovak Mathematical Journal, Tome 39 (1989) no. 4, pp. 631-640. doi: 10.21136/CMJ.1989.102339

[1] G. Birkhoff: Lattice theory. Third edition, Providence, 1967. | MR | Zbl

[2] A. Bigard K. Keimel S. Wolfenstein: Groupes et Anneaux Réticulés. Lecture Notes in Math., No. 608, Springer-Verlag, Berlin-Heidelberg-New York, 1977. | MR

[3] P. F. Conrad: Lattice-ordered groups. Tulane University, 1970. | Zbl

[4] D. Dikranjan R. Frič F. Zanolin: On convergence groups with dense coarse subgroups. Czechoslovak Math. J. 37, 1987, 471-479. | MR

[5] D. Doitchinov: Produits de groupes topologiques minimaux. Bull. Sci. Math. 97, 1972, 59-64. | MR | Zbl

[6] С. J. Everett S. Ulam: On ordered groups. Trans. Amer. Math. Soc. 57, 1945, 208-216. | DOI | MR

[7] R. Frič: Products of coarse convergence groups. Czechoslovak Math. J. 38, 1988, 285-290. | MR

[8] M. Harminc: Sequential convergences on abelian lattice ordered groups. Convergence structures 1984. Mathematical Research, Band 24, Akademie-Verlag, Berlin, 1985, 153-158. | MR

[9] M. Harminc: Convergences on lattice ordered groups. Dissertation, Math. Inst. Acad. Sci., Bratislava, 1986. (In Slovak.)

[10] M. Harminc: Cardinality of the system of all sequential convergences on an abelian lattice ordered group. Czechoslovak Math. J. 37, 1987, 533-546. | MR | Zbl

[11] M. Harminc: Sequential convergences on lattice ordered groups. Czechoslovak Math. J. 39, 1989, 232-238. | MR

[12] J. Jakubík: On summability in convergence $l$-groups. Čas. pěst. mat. 113, 1988, 286-292. | MR

[13] J. Jakubík: Lattice ordered groups having a largest convergence. Czechoslov. Math. J. 39, 1989, 717-729. | MR

[14] J. Jakubík: Convergences and complete distributivity of lattice ordered groups. Math. Slovaca 38, 1988, 269-272. | MR

[15] P. Mikusiński: Problems posed at the conference. Proc. Conf. on Convergence, Szczyrk 1979, Katowice 1980, 110-112. | MR

[16] E. Pap: Funkcionalna analiza, nizovne konvergenciji, neki principi funkcionalne analize. Novi Sad, 1982. | MR

[17] F. Papangelou: Order convergence and topological completion of commutative latticegroups. Math. Ann. 155, 1964, 81-107. | DOI | MR

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