| Title:
|
Completions and closures of cyclically ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
160-169 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06A23 |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 0797.06015 |
| idMR:
|
MR1087637 |
| DOI:
|
10.21136/CMJ.1991.102447 |
| . |
| Date available:
|
2008-06-09T15:37:54Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102447 |
| . |
| Reference:
|
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| Reference:
|
[2] Š. Černák J. Jakubík: Completion of a cyclically ordered group.Czechoslov. Math. J. 37, 1987, 157-174. MR 0875137 |
| Reference:
|
[3] Š. Černák: Cantor extension of an abelian cyclically ordered group.Math. Slovaca 39, 1989, 31-41. MR 1016328 |
| Reference:
|
[4] Š. Černák: Completion and Cantor extension of cyclically ordered groups.Proc. Univ. alg. symposium, 1988, Turawa, 13-22. MR 1084391 |
| Reference:
|
[5] Л. Фукс: Частично упсрядоченные алгебраические системы.Москва 1965. Zbl 1099.01519 |
| Reference:
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[6] A. W. Hales: On the non-existence of free complete Boolean algebras.Fundam. Math. 54, 1964,45-66. Zbl 0119.26003, MR 0163863 |
| Reference:
|
[7] M. Harminc: Sequential convergences on cyclically ordered groups.Math. Slovaca 38, 1988, 249-253. Zbl 0654.06017, MR 0977903 |
| Reference:
|
[8] J. Jakubík: Retracts of abelian cyclically ordered groups.Archivum mathematicum 25, 1989, 13-18. MR 1189194 |
| Reference:
|
[9] J. Jakubík: Cyclically ordered groups with unique addition.Czechoslov. Math. J. 40, 1990, 534-538. MR 1065033 |
| Reference:
|
[10] J. Jakubík: On completions of linearly ordered groups.Časop. pěstov. matem. 115, 1990, 278-282. MR 1071059 |
| Reference:
|
[11] J. Jakubík G. Pringerová: Radical classes ofcyclically ordered groups.Math. Slovaca 38, 1988, 255-268. MR 0977904 |
| Reference:
|
[12] J. Jakubík G. Prignerová: Representations of cyclically ordered groups.Čas. pěstov. matem. 113, 1988, 184-196. MR 0949044 |
| Reference:
|
[13] M. Jakubíková: Completions of lattice ordered groups.Math. Slovaca 32, 1982, 127-141. MR 0658246 |
| Reference:
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[14] M. Jakubíková: On complete lattice ordered groups with two generators.I, Math. Slovaca 28, 1978, 389-406; II, Math. Slovaca 29, 1979, 271-287. MR 0534818 |
| Reference:
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[15] M. Jakubíková: The nonexistence of free complete vector lattices.Časop. pěstov. mat. 99, 1974, 142-146. MR 0360404 |
| Reference:
|
[16] V. Novák: Cuts in cyclically ordered sets.Czechoslov. Math. J. 34, 1984, 322-333. MR 0743497 |
| Reference:
|
[17] L. Rieger: O uspořádaných a cyklicky uspořádaných grupách I, II, III.Věstník král. české spol. nauk 1946, 1-31; 1947, 1-33; 1948, 1-26. MR 0020995 |
| Reference:
|
[18] S. Swierczkowski: On cyclically ordered groups.Fundam. Math. 47, 1959, 161-166. Zbl 0096.01501, MR 0110759, 10.4064/fm-47-2-161-166 |
| Reference:
|
[19] А. И. Задарина: К теории циклически упорядоченных групп.Матем. заметки З1, 1982, 3-12. Zbl 1171.03330 |
| Reference:
|
[20] А. И. Задарина: О линейном и циклическом порядках в группе.Сибир. матем. ж. 26, 1985, 204-207. Zbl 1171.76300, MR 0788349 |
| Reference:
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[21] А. И. Задарина Г. Г. Пестов: К теоргме Сверчковского.Сибир. матем. ж. 25, 1984, 46-53. Zbl 1228.82001, MR 0754739 |
| Reference:
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[22] С. Д. Желева: О циклически упорядоченных группах.Сибир. матем. ж. 17, 1976, 1046-1051. Zbl 1170.01332, MR 0422106 |
| Reference:
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[23] С. Д. Желева: О полуднородно циклически упорядоленных группах.Годиш. ВУЗ, прил. матем. 17, 1981, 123-136. Zbl 1170.01413, MR 0705070 |
| Reference:
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| . |
