南京大学学报(数学半年刊)
南京大學學報(數學半年刊)
남경대학학보(수학반년간)
JOURNAL OF NANJING UNIVERSITY MATHEMATICAL BIQUARTERLY
2012年
1期
39-50
,共12页
PS-内射环%J0-morphic环%平凡扩张
PS-內射環%J0-morphic環%平凡擴張
PS-내사배%J0-morphic배%평범확장
principally small injective ring%J-morphic ring%trivial extension
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.
本文主要研究PS-內射環,作為morphic-環的推廣,我們引入瞭一類PS-內射環,稱之為J-morphic環.給齣瞭J-morphic環的例子和一些性質.最後還研究瞭在平凡擴張下的內射性.
본문주요연구PS-내사배,작위morphic-배적추엄,아문인입료일류PS-내사배,칭지위J-morphic배.급출료J-morphic배적례자화일사성질.최후환연구료재평범확장하적내사성.
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.