SPQ-内射半模  

SPQ-Injective Semimodules

作　　者：曾慧平[1] 黄福生[2] 王海威[1] Zeng Huiping;Huang Fusheng;Wang Haiwei(Science and Technology College of NCHU,Nanchang 330034,China;College of Mathematics and Informatics Jiangxi Normal University,Nanchang 330022,China)

机构地区：[1]南昌航空大学科技学院,南昌330034 [2]江西师范大学数学与信息科学学院,南昌330022

出　　处：《科技通报》2016年第7期1-3,共3页Bulletin of Science and Technology

基　　金：国家自然科学基金(11261021);江西省教育厅青年科学基金(No.GJJ14541)

摘　　要：设是右R-半模,半模N称为SP-M-内射的,若任意M的small-主子半模到N的同态可扩张至M到N的同态。若M是SP-M-内射的,则称M是SPQ-内射半模。本文给出了SPQ-内射半模的刻画及部分较好性质。Let M be a right R-semimodule.A right R-semimodule N is called SP-M-injective if,every Rhomomorphismfrom a small and principal subsemimodule of M to N can be extended to an Rhomomorphismfrom M to N.If M is SP- M- injective semimodule,then M is called SPQ- injectivesemimodule.In this paper we give some characterizations and properties of SPQ-injective semimodules.

关 键 词：small-子半模 SP-M-内射M N半模 SPQ-内射半模 自同态半环 

分 类 号：O153.3[理学—数学]