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description Journal article public Journal of the Indonesian Mathematical Society

When is an Abelian Weakly Clean Ring Clean?

Peter Danchev
Published October 2015

Abstract

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.DOI : http://dx.doi.org/10.22342/jims.21.2.229.83-91

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