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Structure Theorems of Specker Groups (I)

Authors

  • Shinemin Lin

    Savannah State University, USA

    Author

DOI:
https://doi.org/10.31686/ijier.vol3.iss8.412
Abstract

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.

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

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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

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Published
2015-08-01
Issue
Vol. 3 No. 8 (2015): International Journal for Innovation Education and Research
Section
Journal Articles
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Copyright (c) 2015 Shinemin Lin

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How to Cite

Lin, S. (2015). Structure Theorems of Specker Groups (I). International Journal for Innovation Education and Research, 3(8), 82-87. https://doi.org/10.31686/ijier.vol3.iss8.412