强J-quasi-clean环
Journal of Nanning Normal University(Natural Scinence Edition)(2023)
摘要
该文引入了强J-quasi-clean环,并证明了强J-clean环是强J-quasi-clean环,而强 J-quasi-clean 环是强拟 clean环,反过来都是不成立的;还证明了环R 是强J-quasi-clean的当且仅当R/J(R)是拟 Boole环且其每个拟幂等元都能强提升;最后指出强J-quasi-clean环是左(右)quasi-duo环.
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关键词
strongly J-quasi-clean ring,quasi-idempotent,strongly J-clean ring,strongly quasi-clean ring,Jacobson radical
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