| Title:
|
Direct limits of cyclically ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Author:
|
Pringerová, Gabriela |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
231-250 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| MSC:
|
20F60 |
| idZBL:
|
Zbl 0821.06015 |
| idMR:
|
MR1281020 |
| DOI:
|
10.21136/CMJ.1994.128465 |
| . |
| Date available:
|
2009-09-24T09:38:08Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128465 |
| . |
| Reference:
|
[1] C.G. Chehata: An algebraically simple ordered group.Proc. London Math. Soc. 2 (1952), 183–197. Zbl 0046.02501, MR 0047031 |
| Reference:
|
[2] C.G. Chehata, R. Wiegandt: Radical theory for fully ordered groups.Mathematica – Rév. d’Anal. Numér. Théor. Approx. 20 (1979), no. 43, 143–157. MR 0530451 |
| Reference:
|
[3] V Dlab: On a family of simple ordered groups.J. Austral. Math. Soc. 8 (1968), 591–608. Zbl 0165.34502, MR 0228397, 10.1017/S1446788700006261 |
| Reference:
|
[4] B.J. Gardner: Some aspects of radical theory for fully ordered groups.Comment. Math. Univ. Carol. 26 (1985), 821–837. MR 0831815 |
| Reference:
|
[5] D. Gluschankof: Cyclic ordered groups and $MV$-algebras.Czechoslovak Math. J. 43(118) (1993), 249–263. Zbl 0795.06015, MR 1211747 |
| Reference:
|
[6] G. Grätzer: Universal Algebra.Princeton, 1968. MR 0248066 |
| Reference:
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[7] E. Halušková: Direct limits of monounary algebras (to be submitted).. |
| Reference:
|
[8] G. Higman, A.H. Stone: On inverse systems with trivial limits.J. London Math. Soc. 29 (1954), 233–236. MR 0061086, 10.1112/jlms/s1-29.2.233 |
| Reference:
|
[9] P.D. Hill: Relation of a direct limit group to associated vector group.Pacif. J. Math. 10 (1960), 1309–1312. MR 0122863, 10.2140/pjm.1960.10.1309 |
| Reference:
|
[10] P.D. Hill: Note on a direct limit group.Amer. Math. Monthly 67 (1960), 998–1000. Zbl 0111.24302, MR 0122864, 10.2307/2309231 |
| Reference:
|
[11] P.D. Hill: Limits of sequences of finitely generated abelain groups.Proc. Amer. Math. Soc. 12 (1961), 946–950. MR 0147543, 10.1090/S0002-9939-1961-0147543-1 |
| Reference:
|
[12] J. Jakubík: On the lattice of radical classes of linearly ordered groups.Studia scient. math. Hungar 19 (1981), 76–86. MR 0703644 |
| Reference:
|
[13] J. Jakubík: Retracts of abelian cyclically ordered groups.Archivum mathem. 25 (1989), 13–18. MR 1189194 |
| Reference:
|
[14] J. Jakubík, G. Pringerová: Representations of cyclically ordered groups.Časopis. pěst. matem. 113 (1988), 184–196. MR 0949044 |
| Reference:
|
[15] J. Jakubík, G. Pringerová: Radical classes of cyclically ordered groups.Math. Slovaca 38 (1988), 255–268. MR 0977904 |
| Reference:
|
[16] A.G. Kurosh: Group theory, third edition.Moskva, 1967. (Russian) |
| Reference:
|
[17] V.M. Kopytov: Lattice ordered groups.Moskva, 1984. (Russian) Zbl 0567.06011, MR 0806956 |
| Reference:
|
[18] L. Rieger: On ordered and cyclically ordered groups, I, II, III.Věstník Král. čes. spol. nauk (1946), 1–31. (Czech) MR 0020995 |
| Reference:
|
[19] S. Swierczkowski: On cyclically ordered groups.Fund. Math. 47 (1959), 161–166. Zbl 0096.01501, MR 0110759, 10.4064/fm-47-2-161-166 |
| . |
