Some aspects of radical theory for fully ordered Abelian groups
Gardner, Barry J.
Commentationes Mathematicae Universitatis Carolinae, Tome 026 (1985), p. 821-837 / Harvested from Czech Digital Mathematics Library
Publié le : 1985-01-01
Classification:  06A06,  06F20,  06F25,  20E10,  20F60
@article{106418,
     author = {Barry J. Gardner},
     title = {Some aspects of radical theory for fully ordered Abelian groups},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {026},
     year = {1985},
     pages = {821-837},
     zbl = {0584.06010},
     mrnumber = {831815},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106418}
}
Gardner, Barry J. Some aspects of radical theory for fully ordered Abelian groups. Commentationes Mathematicae Universitatis Carolinae, Tome 026 (1985) pp. 821-837. http://gdmltest.u-ga.fr/item/106418/

S. A. Amitsur A general theory of radicals, II. Radicals in rings and bicategorles, Amer. J. Math. 76 (1954), 100-125. (1954) | MR 0059256

C. G. Chehata R. Wiegandt Radical theory for fully ordered groups, Mathematica (Cluj) 20 (1978), 143-157. (1978) | MR 0530451

L. Fuchs Partially ordered algebraic systems, Pergamon Press, Oxford, London, New York, Paris, 1963. (1963) | MR 0171864 | Zbl 0137.02001

B. J. Gardner Some current issues in radical theory, Math. Chronicle 8 (1979), 1-23. (1979) | MR 0564686 | Zbl 0414.16003

B. J. Gardner Small ideals in radical theory, Acta Math. Hungar. 43 (1984), 287-294. (1984) | MR 0733860 | Zbl 0536.16011

K. Hrbacek T. Jech Introduction to Set Theory, Marcel Dekker, New York and Basel, 1978. (1978) | MR 0491188

J. Jakubik On the lattice of radical classes of linearly ordered groups, Studia Sci. Math. Hungar.16 (1981), 77-86. (1981) | MR 0703644 | Zbl 0465.06012

J. Jakubik On the lattice of semisimple classes of linearly ordered groups, Časopis Pěst. Mat. 108 (1983), 183-190. (1983) | MR 0704063 | Zbl 0524.06027

J. Jakubik On radical classes of abelian linearly ordered groups, submitted. | Zbl 0579.20034

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.] (1973) | MR 0345997

G. Pringerová Covering condition in the lattice of radical classes of linearly ordered groups, Math. Slovaca 33 (1983), 363-369. (1983) | MR 0720506

G. Pringerová On semisimple classes of abelian linearly ordered groups, Časopis Pěst. Mat. 108 (1983), 40-52. (1983) | MR 0694139

P. Ribenboim Théorie des Valuations, Presses de l'Université de Montréal, Montréal, 1965. (1965) | MR 0249425 | Zbl 0139.26201

W. Sierpiński Cardinal and Ordinal Numbers, PWN-Polish Scientific Publishers, Warsaw, 1965. (1965) | MR 0194339