Φ-w-平坦模与非诣零w-凝聚环  

Φ-w-Flat Modules and Nonnil w-Coherent Rings

作　　者：张晓磊 ZHANG Xiaolei(School of Mathematics and Statistics,Shandong University of Technology,Zibo Shandong 255000,China)

机构地区：[1]山东理工大学数学与统计学院,山东淄博255000

出　　处：《重庆师范大学学报（自然科学版）》2023年第3期122-128,共7页Journal of Chongqing Normal University:Natural Science

基　　金：国家自然科学基金面上项目(No.12061001)。

摘　　要：【目的】为了研究非诣零w-凝聚环的理想理论刻画和模理论刻画。【方法】引入并研究了Φ-w-平坦模,并证明了Φ-w-平坦模类是盖类。【结果】类似于经典的凝聚环刻画,给出了非诣零w-凝聚环的理想理论刻画和模理论刻画。【结论】非诣零w-凝聚环是w-算子中非常值得研究的Φ-环。[Purposes]The aim is to study the nonnil-w-coherent rings in terms of ideal-theory and module-theory.[Methods]It introduces and studies the notion ofΦ-w-flat modules,and proves that the class of allΦ-w-flat modules is covering.[Results]The nonnil-w-coherent rings are characterized in terms of ideal-theory and module-theory.[Conclusions]The notion of nonnil w-coherent rings is worth exploring in bothΦ-rings and w-operations.

关 键 词：余挠理论 Φ-w-平坦模 非诣零w-凝聚环 

分 类 号：O154.2[理学—数学]