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Journal of the Indonesian Mathematical Society
Volume 21 Number 2 (October 2015)
WHEN IS AN ABELIAN WEAKLY CLEAN RING CLEAN?
Article Info   ABSTRACT
Published date:
03 Nov 2015
 
We answer the title question in the armative by showing that anyabelian weakly clean ring for which 2 belongs to its Jacobson radical (in particular, if 2 is nilpotent) has to be clean. Some constructive examples, one of which illustrates that this is no longer true removing the condition on the 2, are given as well.
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