Q-clean环的结构及其应用（英文）The structure of Q-clean ring and its application
孙晓青;刘霞;花秀娟;
摘要(Abstract)：
定义了Q-clean环,并对它做了深入的研究,得到了Q-clean环的很多特性.特别的,证明了在2可逆的Q-clean环中,每个元素都可以表示为一个拟可逆元和一个幂等元的和.还得到了Q-clean环的一个充分条件,即如果环R的每个元素可以写成x=xux, u∈R_q(-1),则R是Q-clean环.最后,证明了Q-clean环的理想仍然是Q-clean的.
关键词(KeyWords)： 拟可逆;Q-clean环;理想
基金项目(Foundation): 国家自然科学基金(61806162);; 西安理工大学校基金(2015CX009)
作者(Authors): 孙晓青;刘霞;花秀娟;
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