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PS-内射环Ⅱ(英文)

PRINCIPALLY SMALL INJECTIVE RINGS Ⅱ
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摘要 本文主要研究PS-内射环,作为morphic-环的推广,我们引入了一类PS-内射环,称之为J-morphic环.给出了J-morphic环的例子和一些性质.最后还研究了在平凡扩张下的内射性. The aim of this paper is to investigate the principally small injective rings. As a generalization of the morphic rings, we introduce a class of principally small injective rings which is called J-morphic rings. Some properties and examples are given. Finally, we also study the principally small injectivity under trivial ring extensions.
出处 《南京大学学报(数学半年刊)》 CAS 2012年第1期39-50,共12页 Journal of Nanjing University(Mathematical Biquarterly)
关键词 PS-内射环 JO-morphic环 平凡扩张 principally small injective ring, J-morphic ring, trivial extension.
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参考文献14

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