P-平坦半模和k-P-平坦半模

P-Flat Semimodules and k-P-Flat Semimodules

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.