【创源大讲堂】Quasi-clean rings and strongly quasi-clean rings

​题目:Quasi-cleanringsandstronglyquasi-cleanrings摘要:AnelementaofaringRiscalledaquasi-idempotentifa^2=kaforsomecentralunitkofR,orequivalently,a=ke,wherekisacentralunitandeisanidempotentofR.AringRiscalledaquasi-BooleanringifeveryelementofRisquasi-idempotent.AringRiscalled(strongly)quasi-cleanifeachofitselementsisasumofaquasi-idempotentandaunit(thatcommute).Theseringsareshowntobeanaturalgeneral...