P-平坦半模和k-P-平坦半模  

P-Flat Semimodules and k-P-Flat Semimodules

作　　者：毛瑜[1] 黄福生[1] 许娣[1] 李扬[1] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《江西师范大学学报（自然科学版）》2015年第5期514-518,共5页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11261021)资助项目

摘　　要：在半模张量积和真正合列的基础上,给出P-平坦半模和k-P-平坦半模的定义,讨论了它们的相关性质,刻画了k-P-平坦半模和P-内射半模的关系,最后,通过k-P-平坦右R-半模来对半环R的左主理想进行一些研究.On the basis of the tensor product of semimodules and the proper exact sequence,the concepts of P-flat semimodules and k-P-flat semimodules are given,and their related properties are discussed. Also the relationship of k-P-flat semimodules and P-injective semimodules is described,and the left principal ideal of semiring R is studied by means of k-P-flat right R-semimodules.

关 键 词：P-平坦半模 k-P-平坦半模 P-内射半模 

分 类 号：O153.3[理学—数学]