- #1
Euge
Gold Member
MHB
POTW Director
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- 242
Here is this week's POTW:
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If $R$ is a nonzero commutative ring such that the direct sums $R^m$ and $R^n$ are isomorphic, show that $m = n$.
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Remember to read the https://mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to https://mathhelpboards.com/forms.php?do=form&fid=2!
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If $R$ is a nonzero commutative ring such that the direct sums $R^m$ and $R^n$ are isomorphic, show that $m = n$.
-----
Remember to read the https://mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to https://mathhelpboards.com/forms.php?do=form&fid=2!