摘要
该文借鉴格环和格半环的定义,在半环,星半环的基础上,增加了一个偏序关系"≤",引入了星环、格昌环、格星半环和正星半环等定义,进一步介绍了它们的一些性质,并得到了与格环和格半环类似的几个重要命题.
In this paper, we add a partially order relation to the notions of hemiring and star seming on the analogy of lattice-ordered rings and lattice-ordered hemirings. So on the basis of this, we introduce the notions and some properties of the star rings, lattice-ordered star rings, lattice-ordered star himirings and positive star hemiring etc. Applying these to star system, we get analogous results with lattice-ordered rings and lattice-ordered hemirings.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2008年第5期589-592,共4页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
江西省自然科学基金(0611051,2007GQS0159)
江西省教育厅科研计划(GJJ08161)资助项目
关键词
星环
格星环
格星半环
正星半环.
star rings
lattice
star rings
lattice
star hemirings
positive star hemiring
