ON POTENT ELEMENTS AND PSEUDO CLEAN RINGSOA
In this paper,potent index of an element and pseudo clean rings are considered.Some properties and examples of pseudo clean rings are given.We also show that Zm is pseudo clean for every 2≤m∈Z and pseudo clean rings are clean.Furthermore,we prove pseudo clean rings are directly finite and have stable range one.
DING Yan;GAO Han-peng;LIU Xin-yi;YAN Zi-yi;ZHANG Ting
School of Mathematical Sciences,Anhui University,Hefei 230601,ChinaSchool of Mathematical Sciences,Anhui University,Hefei 230601,ChinaSchool of Mathematical Sciences,Anhui University,Hefei 230601,ChinaSchool of Mathematical Sciences,Anhui University,Hefei 230601,ChinaSchool of Mathematical Sciences,Anhui University,Hefei 230601,China
数学
clean ringsstrongly J-clean ringspseudo clean ringspotent elements
《数学杂志》 2025 (1)
P.39-47,9
Supported by National Natural Science Foundation of China(12301041)。
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