[1]毛瑜,黄福生,许娣,等.P-平坦半模和k-P-平坦半模[J].江西师范大学学报(自然科学版),2015,(05):514-518.
 MAO Yu,HUANG Fusheng,XU Di,et al.P-Flat Semimodules and k-P-Flat Semimodules[J].,2015,(05):514-518.
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P-平坦半模和k-P-平坦半模()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2015年05期
页码:
514-518
栏目:
出版日期:
2015-10-01

文章信息/Info

Title:
P-Flat Semimodules and k-P-Flat Semimodules
作者:
毛瑜;黄福生;许娣;李扬
江西师范大学数学与信息科学学院,江西南昌,330022
Author(s):
MAO Yu;HUANG Fusheng;XU Di;LI Yang
关键词:
P-平坦半模k-P-平坦半模P-内射半模
Keywords:
P-flat semimodulesk-P-flat semimodulesP-injective semimodules
分类号:
O153.3
文献标志码:
A
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。
Abstract:
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.

参考文献/References:

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备注/Memo

备注/Memo:
国家自然科学基金(11261021)
更新日期/Last Update: 1900-01-01