Journal of the Indonesian Mathematical Society has been acreditated by the General Directorate of Higher Education (DIKTI)
WHEN IS AN ABELIAN WEAKLY CLEAN RING CLEAN?
We answer the title question in the armative by showing that any
abelian 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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Journal of the Indonesian Mathematical Society ( p-ISSN:2086-8952 | e-ISSN:2460-0245) published by the Indonesian Mathematical Society (IndoMS).
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