摘要
讨论了环和极大商环的正则性,给出交换左(右)极大环,自内射环和凝聚环是正则环的一个充分条件,同时得到一些交换环的极大商环的正则性及自内射性.
In this paper the regularities of rings are investigated.It is proved that the commutative left(right) maximal rings and self-injective rings with regular Jacobson radicals are regular.A sufficient condition for a coherent ring to be a regular ring was given.The regularities and self-injectivities of some maximal quotient rings are obtained.
出处
《广西师范大学学报（自然科学版）》
CAS
北大核心
2005年第2期31-33,共3页
Journal of Guangxi Normal University:Natural Science Edition
基金
国家自然科学基金资助项目(10271021)
教育部优秀青年教师资助计划资助项目(2002-40)
广西自然科学基金资助项目(0135005)
广西十百千人才基金资助项目(99217)
广西师范大学科研基金资助项目
