Artin A-左遗传环的若干研究  

Some researches on Artin A-left hereditary rings

作　　者：田岩 焦旸 TIAN Yan;JIAO Yang(School of Mathematics,Liaoning Normal University,Dalian 116029,China)

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《吉林师范大学学报（自然科学版）》2022年第1期86-90,共5页Journal of Jilin Normal University:Natural Science Edition

基　　金：辽宁省教育厅青年项目(LQ2020021);辽宁师范大学教改项目(LS202002)。

摘　　要：推广了左遗传环,引入并研究Artin A-左遗传环.通过引入A-左半遗传环和A-左凝聚环的概念,给出了A-左遗传环的一个等价刻画,进而讨论了A-左遗传环、A-左半遗传环以及A-左凝聚环的关系.A-left hereditary ring has been generalized,Artin A-left hereditary rings were introduced and studied.By introducing the concepts of A-left hereditary rings and A-left coherent rings,A-left hereditary rings were equivalently characterized.Further,the relationships among A-left hereditary rings,A-left semi-hereditary rings and A-left coherent rings were discussed.

关 键 词：A-左遗传环 A-左半遗传环 A-左凝聚环 

分 类 号：O153[理学—数学]