Endomorphisms and Product Bases of the Baer-Specker Group
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...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/396475 |
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| _version_ | 1849307505069391872 |
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| author | E. F. Cornelius |
| author_facet | E. F. Cornelius |
| author_sort | E. F. Cornelius |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2a9a7447fa0f4b8792708127f73ad8a7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2a9a7447fa0f4b8792708127f73ad8a72025-08-20T03:54:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/396475396475Endomorphisms and Product Bases of the Baer-Specker GroupE. F. Cornelius0College of Engineering and Science, University of Detroit Mercy, Detroit, MI 48221-3038, USAThe 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.http://dx.doi.org/10.1155/2009/396475 |
| spellingShingle | E. F. Cornelius Endomorphisms and Product Bases of the Baer-Specker Group International Journal of Mathematics and Mathematical Sciences |
| title | Endomorphisms and Product Bases of the Baer-Specker Group |
| title_full | Endomorphisms and Product Bases of the Baer-Specker Group |
| title_fullStr | Endomorphisms and Product Bases of the Baer-Specker Group |
| title_full_unstemmed | Endomorphisms and Product Bases of the Baer-Specker Group |
| title_short | Endomorphisms and Product Bases of the Baer-Specker Group |
| title_sort | endomorphisms and product bases of the baer specker group |
| url | http://dx.doi.org/10.1155/2009/396475 |
| work_keys_str_mv | AT efcornelius endomorphismsandproductbasesofthebaerspeckergroup |