Filters and topologies on semigroups (in Russian) |
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| Author |
Department of Cybernetics, Kiev University, pr. Glushkova, 6, Kiev, Ukraine
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| Abstract |
It is proposed an approach to the classification of filters on semigroups
based on semigroup properties of Čech-Stone compactifications.
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| Keywords |
filters, semigroups, Čech-Stone compactification
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| DOI |
doi:10.30970/ms.3.1.15-28
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Reference |
1. Протасов И.В. Ультрафильтры и топологии на группах // Сиб. мат. журн. 1993. Т.34, № 5. С.163–180.
2. Протасов И.В. Почти дискретные группы // Третья международная конференция по алгебре. Красноярск, 23–28 августа 1993г. Тезисы докладов. С.227. 3. Куратовский К. Топология. Т.1. – М.: Мир, 1996. 4. Hindman N. Ultrafilters and combinatorical number theory // Lecture Notes in Math. 1979. V.751. P.49–184. 5. Comfort W.W. Ultrafilters: some old and some new results // Bull. Amer. Math. Soc. 1977. V.83. № 4. P.417–455. 6. Ruppert W. Compact semitopological semigroups: An intrinsic theory // Lecture Note in Math. 1984. V.1079. P.1–260. 7. Малыхин В.И. Об экстремально несвязных топологических группах // Усп. мат. наук. 1979. Т.34. № 6. С.59–66. 8. Shelach S. Proper forcing // Lecture Notes in Math. 1982. V.940. 9. Blass A., Hindman N. On strongly summable and union ultrafilters // Trans. Amer. Math. Soc. 1987. V.304. No 1 P.83–99. Department of Cybernetics, Kiev University, pr. Glushkova, 6, Kiev, Ukraine |
| Pages |
15-28
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| Volume |
3
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| Issue |
1
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| Year |
1994
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |