主要讨论对左（右）理想满足半极大条件的环与对零因子满足极大条件的环的性质。
In this pater , the proterties of the rings that satisfs the semi-maximum condition for left (right) ideal and maximum condition for zero-factor are discussed.
主要对正则环的相关理论进行了研究，包括正则环理想上的模比较，并进一步研究了强正则环的模刻画。
The paper has researched module comparability theories about regular rings, including the module of regular rings and characterizations about modules over strongly regular rings.
第二章，主要研究极大本质单边理想是广义弱理想的SF -环的正则性。
In the second chapter, we study the regularity of SF-rings whose every maximal essential one-sided ideal is generalized weak ideal.
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