CAJ | 학술논문

研究了SF-环与P-内射环的关系，构造了SF-环成为P-内射环的一系列条件．证明了SF-环R只要满足其中之一：R的每个极大左理想是有限生成的；特殊右零化子的降链条件；对R的每个极大左理想M，l（M）在R中是本质的，那么R就是P-内射环．在此基础上，利用一定条件下SF-环的P-内射性，发展了SF-环的若干新结果，这些结果部分地拓展了有关文献中的结果．
연구료SF-배여P-내사배적관계，구조료SF-배성위P-내사배적일계렬조건．증명료SF-배R지요만족기중지일：R적매개겁대좌이상시유한생성적；특수우령화자적강련조건；대R적매개겁대좌이상M，l（M）재R중시본질적，나요R취시P-내사배．재차기출상，이용일정조건하SF-배적P-내사성，발전료SF-배적약간신결과，저사결과부분지탁전료유관문헌중적결과．
In this paper, we studied the relations between the SF-rings and the P-injective rings. Firstly, we constructed some conditions that SF-rings be P-injective rings. In this section, we proved that a SF-ring R as soon as satisfies one of the conditions： every maximal left ideal of R is finitely generated and special right annihilator descending chain condition and is essential in R for any maximal left ideal of R, then R is a P-injective ring. Secondly, we developed some new results about SF-rings by their injectivity based on certain conditions. Our work extends some results of related references to some extent.