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- W1577884312 abstract "We show that an associate unital ring R is weakly exchange (respectively, weakly clean) if R/J(R) is weakly exchange (respectively, weakly clean) and idempotents in R lift modulo J(R). If, in addition, 2 belongs to J(R), then the converse holds too. In particular, if 2 lies in J(R), then any weakly exchange ring is exchange as well as any weakly clean ring is clean. These facts somewhat strengthen some classical results due to Nicholson (Trans. Amer. Math. Soc., 1977)." @default.
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- W1577884312 date "2014-01-01" @default.
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- W1577884312 title "On Weakly Exchange Rings" @default.
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