CAJ | 학술논문

首先利用正则环，对半单环进行了一个新的刻画；然后，构造了半单环成为单位正则环的一系列条件，在此基础上对单位正则环进行了半单环意义下的两个刻画；最后，通过构造Artin环到半单环的条件，将半单环的有关结论推广到Artin环中。
수선이용정칙배，대반단배진행료일개신적각화；연후，구조료반단배성위단위정칙배적일계렬조건，재차기출상대단위정칙배진행료반단배의의하적량개각화；최후，통과구조Artin배도반단배적조건，장반단배적유관결론추엄도Artin배중。
Firstly, a new characterization of semisimple rings was obtained in In the sense of regular rings. Secondly, we constructed a series of conditions which from semisimple rings to unit regular rings and on which two characterizations were obtained about unit regular rings in terms of semisiple rings. Finally, by constructing the conditions that from Artin rings to semisimple rings, a series of results about semisimple ring were pushed to Artin rings.