关于Pseudo Weakly Clean环OACSTPCD
On Pseudo Weakly Clean Rings
一个环R叫做pseudo weakly clean环,如果R中的每一个元素都可以写成x=e+u+(1-e)rx或x=-e+u+(1-e)rx的形式,其中e是幂等元,u是可逆元.R的pseudo weakly clean性在斜幂级数环R[[x;σ]],Hurwitz级数环H(R),T(R,σ)上都满足.同时上三角矩阵的pseudo weak cleanness得以讨论.更进一步我们证明以下几点是等价的:R是pseudo weakly c…查看全部>>
郝亚璞;陈焕艮
杭州师范大学理学院,浙江杭州310036杭州师范大学理学院,浙江杭州310036
数理科学
pseudo weakly clean环斜幂级数环Hurwitz级数环Weakly exchange环理想
pseudo weakly clean ringskew power series ringHurwitz series ringWeakly exchange ringideal
《杭州师范大学学报(自然科学版)》 2016 (5)
514-521,8
Supported by the Natural Science Foundation of Zhejiang Province (LY13A010019).
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