The Lattice of all Systems of r -Ideals in a Set

Judita Lihová

Matematický časopis (1972)

  • Volume: 22, Issue: 1, page 50-58
  • ISSN: 0232-0525

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Lihová, Judita. "The Lattice of all Systems of $r$-Ideals in a Set." Matematický časopis 22.1 (1972): 50-58. <http://eudml.org/doc/29952>.

@article{Lihová1972,
author = {Lihová, Judita},
journal = {Matematický časopis},
language = {eng},
number = {1},
pages = {50-58},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The Lattice of all Systems of $r$-Ideals in a Set},
url = {http://eudml.org/doc/29952},
volume = {22},
year = {1972},
}

TY - JOUR
AU - Lihová, Judita
TI - The Lattice of all Systems of $r$-Ideals in a Set
JO - Matematický časopis
PY - 1972
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 22
IS - 1
SP - 50
EP - 58
LA - eng
UR - http://eudml.org/doc/29952
ER -

References

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  1. FUCHS L., On partially ordered algebгas II, Acta scient. math. Szeged, 26, 1965, 35-41. (1965) MR0180514
  2. GAIFMAN H., The lattice of all topologies on a denumerable set (abstract), Amer. math. Soc. Notices, 8, 1961, 356. (1961) 
  3. JAKUBÍK J., Lattice ordered algebras generated by a system of ideals, Colloq. Math., 20, 1969, 31-44. (1969) Zbl0194.01501MR0238754
  4. SCHNARE P. S., Infinite complementation in the lattice of topologies, Fundam. math., 64, 1969, 249-255. (1969) Zbl0177.25002MR0242110
  5. STEINER A. K., The lattice of topologies: structure and complementation, Trans. Amer. Math. Soc., 122, 1966, 379-398. (1966) Zbl0139.15905MR0190893
  6. WOLK E. S., Order compatible topologies on a partially ordered set, Proc. Amer. Math. Soc., 1958, 524-529. (1958) Zbl0089.01902MR0096596
  7. ČORNAYOVÁ J., Systémy ideálov v univerzálnych algebrách, [Diplomová práca.] 1968. (1968) 

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