【摘要】 给出左极小Abel环的一些刻画,主要证明了如下结果:1)R为左极小Abel环当且仅当2阶上三角矩阵环T₂（R）为左极小Abel环;2)R为强左极小Abel环当且仅当■a∈R,■e∈ME_l（R）,|a∨e|≤3;3)设I为R的约化理想,若R/I为左极小Abel环,则R也为左极小Abel环.更多还原

【Abstract】 In this paper some characterizations of left min-abel rings are given.Following results are obtained:1)Ris a left min-Abel ring if and only if the 2×2 upper triangular matrix ring T₂（R）over Ris a left min-Abel ring;2)Ris a strongly left min-Abel ring if and only if for each a∈R and e∈ME_l（R）,where|a∨e|≤3;3)Let I be a reduced ideal of R.If R/I is a left min-Abel ring,then so is R.更多还原