Quasi-projective modules and the finite exchange property
We define a module M to be directly refinable if whenever M=A+B, there exists A¯⊆A and B¯⊆B such that M=A¯⊕B¯ . Theorem. Let M be a quasi-projective module. Then M is directly refinable if and only if M has the finite exchange property.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289001018 |
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| Summary: | We define a module M to be directly refinable if whenever M=A+B,
there exists A¯⊆A
and B¯⊆B
such that M=A¯⊕B¯
. Theorem. Let M be a quasi-projective
module. Then M is directly refinable if and only if M has the finite
exchange property. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |