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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2014
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| Online Access: | 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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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | 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. |
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