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关于FR-环 被引量:1

On FR-Rings
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摘要 文章引进FR-环的概念,证明了FR-环的同态像、直积、矩阵环、形式幂级数等都是FR-环,并给出了FR-环与UR-环的关系. In this paper, the notion of FR-rings is introduced.. It proved that the class of FR-rings is closed under taking homomorphic image, direct product, matrix extension and power series extension. The relationship between the classes of FR-rings and UR-rings is also investigated.
出处 《安徽师范大学学报(自然科学版)》 CAS 北大核心 2013年第4期322-325,共4页 Journal of Anhui Normal University(Natural Science)
关键词 FR-环 正则元 满元素 左quasi-duo环 FR-rings regular element full element left quasi-duo ring
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参考文献10

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引证文献1

  • 1吴丹,殷晓斌.弱f-clean环[J].安徽师范大学学报(自然科学版),2020,43(1):19-23.

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