The exchange property of modules with the finite exchange property
The question, posed in Crawley and Jónsson (Crawley, P., Jónsson, B. (1964). Refinements for infinite direct decompositions of algebraic systems. Pacific J. Math. 14:797-855.), whether the finite exchange property implies the unrestricted exchange property for any modules, is still open. In this not...
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th-cmuir.6653943832-61482014-08-30T03:23:53Z The exchange property of modules with the finite exchange property Dhompongsa S. Tansee H. The question, posed in Crawley and Jónsson (Crawley, P., Jónsson, B. (1964). Refinements for infinite direct decompositions of algebraic systems. Pacific J. Math. 14:797-855.), whether the finite exchange property implies the unrestricted exchange property for any modules, is still open. In this note we obtain the equivalence of the finite exchange property and the unrestricted exchange property for the class of modules whose endomorphism rings are Abelian. 2014-08-30T03:23:53Z 2014-08-30T03:23:53Z 2003 Article 00927872 http://www.scopus.com/inward/record.url?eid=2-s2.0-0037321581&partnerID=40&md5=6803a56f306c51d24dbb93c248b98430 http://cmuir.cmu.ac.th/handle/6653943832/6148 English |
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The question, posed in Crawley and Jónsson (Crawley, P., Jónsson, B. (1964). Refinements for infinite direct decompositions of algebraic systems. Pacific J. Math. 14:797-855.), whether the finite exchange property implies the unrestricted exchange property for any modules, is still open. In this note we obtain the equivalence of the finite exchange property and the unrestricted exchange property for the class of modules whose endomorphism rings are Abelian. |
| format |
Article |
| author |
Dhompongsa S. Tansee H. |
| spellingShingle |
Dhompongsa S. Tansee H. The exchange property of modules with the finite exchange property |
| author_facet |
Dhompongsa S. Tansee H. |
| author_sort |
Dhompongsa S. |
| title |
The exchange property of modules with the finite exchange property |
| title_short |
The exchange property of modules with the finite exchange property |
| title_full |
The exchange property of modules with the finite exchange property |
| title_fullStr |
The exchange property of modules with the finite exchange property |
| title_full_unstemmed |
The exchange property of modules with the finite exchange property |
| title_sort |
exchange property of modules with the finite exchange property |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-0037321581&partnerID=40&md5=6803a56f306c51d24dbb93c248b98430 http://cmuir.cmu.ac.th/handle/6653943832/6148 |
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