N-半单半环  

N-Semisimple Semirings

作　　者：王秀丽[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《中国民航大学学报》2011年第4期61-63,共3页Journal of Civil Aviation University of China

基　　金：天津市自然科学基金项目(08JCYBJC13900);中国民航大学科研基金项目(2010kys06)

摘　　要：主要思想是把环模中好的结果推广到半环半模中来,因此把半环和半模的条件加强,达到顺利推广环模理论,并得出有别于环模理论且具有创新结论的目的。主要引进了N-半单半环的概念,并结合半环中Nk-投射半模与Ni-内射半模刻画了N-半单半环和Noether半环的某些性质,这些性质是N-半单环和NoetherN-半单环某些性质的推广。The main idea of this paper is to generalize some good properties of rings and modules to semirings and semimodules, so we strengthen their conditions in order to generalize the theories of rings and modules smoothly and get some new results which are different from the theories of rings and modules. In this paper, we principally introduce the concept of N-semisimple semirings, combining the theories of Nk-projective semimodules and Ni-injective semimodules, we characterize some properties of N-semisimple semirings and Noether semirings, which are the generalization of some properties of N-semisimple rings and Noether N- semisimple rings.

关 键 词：Nk-投射半模 Ni-内射半模 N-半单半环 Noether半环 

分 类 号：O153.3[理学—数学]