Structure Theorems of Specker Groups (I)
DOI:
https://doi.org/10.31686/ijier.vol3.iss8.412Abstract
Specker groups are subgroups of group of all finite values sequences of integers. Fuchs ([5]) developed many theorems about Specker groups. Here I want to use lattice-ordered group approach to develop the lateral completion of Specker groups and Specker spaces. The main goals of this research paper are to prove theorem 2.9 and corollary 2.10.
Downloads
References
M. Anderson, and T. Feil, Lattice-Ordered Groups: An Introduction, D. Reidel, 1987 DOI: https://doi.org/10.1007/978-94-009-2871-8
Bigard, A., Keimel, K., and Wolfenstein, S., Groupes et Anneaux Reticules. Lecture Notes in Mathematics,
Ed. A. Dold an B. Eckmann. Berlin: Springer-Verlag, 1977.
Birkhoff, G., Lattice Theory, Third Edition, Amer.Math. Soc. Coll. Publ. 25, New York, 1968
Darnel, M., Lattice-Ordered Groups, Preprint.
Fuchs, L., Infinite Abelian Groups, 2 vols. Academic, New York, 1970/3
Conrad, P., Lattice-Ordered Groups, Tulane Lecture Notes, 1970 DOI: https://doi.org/10.1016/0021-8693(70)90024-4
Conrad, P., Epi-Archmedean Groups, Czech. Math. Jour., 24 (99) 1974, 192-218 DOI: https://doi.org/10.21136/CMJ.1974.101233
Conrad, P., The Lateral Completion of a Lattice-Ordered Group, Proc. London Math. Soc. (3) 19, 1969, DOI: https://doi.org/10.1112/plms/s3-19.3.444
-480.
Conrad, P., The Essential Closure of an Archimedean Lattice-Ordered Group, Duke Math. Jour. 38 !971, DOI: https://doi.org/10.1215/S0012-7094-71-03819-1
-160.[10] Conrad, P., Harvey, J., Holland, W.C., The Hahn Embedding Theorem for Lattice-Ordered Groups, Trans. Amer. Math. Soc. 108 1963, 143 – 169. DOI: https://doi.org/10.1090/S0002-9947-1963-0151534-0
Downloads
Published
Issue
Section
License
Copyright (c) 2015 Shinemin Lin
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
Copyrights for articles published in IJIER journals are retained by the authors, with first publication rights granted to the journal. The journal/publisher is not responsible for subsequent uses of the work. It is the author's responsibility to bring an infringement action if so desired by the author for more visit Copyright & License.
How to Cite
