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Lihová, Judita
The Lattice of all Systems of $r$-Ideals in a Set. (English). Matematický časopis, vol. 22 (1972), issue 1, pp. 50-58
MSC: 06A20, 06B10, 54A05, 54A10 | MR 0302520 | Zbl 0232.54002
References:
[1] FUCHS L.: On partially ordered algebгas II. Acta scient. math. Szeged, 26, 1965, 35-41. MR 0180514
[2] GAIFMAN H.: The lattice of all topologies on a denumerable set (abstract). Amer. math. Soc. Notices, 8, 1961, 356.
[3] JAKUBÍK J.: Lattice ordered algebras generated by a system of ideals. Colloq. Math., 20, 1969, 31-44. MR 0238754 | Zbl 0194.01501
[4] SCHNARE P. S.: Infinite complementation in the lattice of topologies. Fundam. math., 64, 1969, 249-255. MR 0242110 | Zbl 0177.25002
[5] STEINER A. K.: The lattice of topologies: structure and complementation. Trans. Amer. Math. Soc., 122, 1966, 379-398. MR 0190893 | Zbl 0139.15905
[6] WOLK E. S.: Order compatible topologies on a partially ordered set. Proc. Amer. Math. Soc., 1958, 524-529. MR 0096596 | Zbl 0089.01902
[7] ČORNAYOVÁ J.: Systémy ideálov v univerzálnych algebrách. [Diplomová práca.] 1968.
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