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Endomorphisms and Product Bases of the Baer-Specker Group
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-09-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The endomorphism ring of the group of all sequences of integers, the Baer-Specker group, is isomorphic to the ring of row finite infinite matrices over the integers.
The product bases of that group are represented by the multiplicative group of invertible elements in that matrix ring.
All products in the Baer-Specker group are characterized, and a lemma of László Fuchs regarding such products is revisited.
American Psychological Association (APA)
Cornelius, E. F.. 2009. Endomorphisms and Product Bases of the Baer-Specker Group. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-468849
Modern Language Association (MLA)
Cornelius, E. F.. Endomorphisms and Product Bases of the Baer-Specker Group. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-9.
https://search.emarefa.net/detail/BIM-468849
American Medical Association (AMA)
Cornelius, E. F.. Endomorphisms and Product Bases of the Baer-Specker Group. International Journal of Mathematics and Mathematical Sciences. 2009. Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-468849
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468849