| Title:
|
Some aspects of radical theory for fully ordered Abelian groups (English) |
| Author:
|
Gardner, Barry J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
26 |
| Issue:
|
4 |
| Year:
|
1985 |
| Pages:
|
821-837 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06A06 |
| MSC:
|
06F20 |
| MSC:
|
06F25 |
| MSC:
|
20E10 |
| MSC:
|
20F60 |
| idZBL:
|
Zbl 0584.06010 |
| idMR:
|
MR831815 |
| . |
| Date available:
|
2008-06-05T21:23:29Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106418 |
| . |
| Reference:
|
[1] S. A. Amitsur: A general theory of radicals, II. Radicals in rings and bicategorles.Amer. J. Math. 76 (1954), 100-125. MR 0059256 |
| Reference:
|
[2] C. G. Chehata R. Wiegandt: Radical theory for fully ordered groups.Mathematica (Cluj) 20 (1978), 143-157. MR 0530451 |
| Reference:
|
[3] L. Fuchs: Partially ordered algebraic systems.Pergamon Press, Oxford, London, New York, Paris, 1963. Zbl 0137.02001, MR 0171864 |
| Reference:
|
[4] B. J. Gardner: Some current issues in radical theory.Math. Chronicle 8 (1979), 1-23. Zbl 0414.16003, MR 0564686 |
| Reference:
|
[5] B. J. Gardner: Small ideals in radical theory.Acta Math. Hungar. 43 (1984), 287-294. Zbl 0536.16011, MR 0733860 |
| Reference:
|
[6] K. Hrbacek T. Jech: Introduction to Set Theory.Marcel Dekker, New York and Basel, 1978. MR 0491188 |
| Reference:
|
[7] J. Jakubik: On the lattice of radical classes of linearly ordered groups.Studia Sci. Math. Hungar.16 (1981), 77-86. Zbl 0465.06012, MR 0703644 |
| Reference:
|
[8] J. Jakubik: On the lattice of semisimple classes of linearly ordered groups.Časopis Pěst. Mat. 108 (1983), 183-190. Zbl 0524.06027, MR 0704063 |
| Reference:
|
[9] J. Jakubik: On radical classes of abelian linearly ordered groups.submitted. Zbl 0579.20034 |
| Reference:
|
[10] A. G. Kuroš: Radicals in the theory of groups.Colloq. Math. Soc. J. Bolyai 6 (1973), 271-296. [Russian original: Sibirsk. Mat. Zh. 3 (1962), 912-931.] MR 0345997 |
| Reference:
|
[11] G. Pringerová: Covering condition in the lattice of radical classes of linearly ordered groups.Math. Slovaca 33 (1983), 363-369. MR 0720506 |
| Reference:
|
[12] G. Pringerová: On semisimple classes of abelian linearly ordered groups.Časopis Pěst. Mat. 108 (1983), 40-52. MR 0694139 |
| Reference:
|
[13] P. Ribenboim: Théorie des Valuations.Presses de l'Université de Montréal, Montréal, 1965. Zbl 0139.26201, MR 0249425 |
| Reference:
|
[14] W. Sierpiński: Cardinal and Ordinal Numbers.PWN-Polish Scientific Publishers, Warsaw, 1965. MR 0194339 |
| . |
