摘要
通过对半环的子半环所满足的条件进行加强,提出了半环的近理想的概念.讨论了半环近理想的基本性质,得到了一些相关的结论.最后证明了半域上的矩阵半环是一个近单半环.
By widening the satisfactory conditions of the subsemiring of semiring, the concept of nearly - ideal of semiring is introduced, several elementary properties of nearly - ideal are discussed, and some new conclusions are obtained. Finally, it is proved that the matrix semiring over a semifield is a nearly - simple semiring.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第4期478-481,共4页
Journal of Fuzhou University(Natural Science Edition)
基金
福建省自然科学基金资助项目(Z0511050)
福建省教育厅科研资助项目(JA06047)
三明学院优势学科资助项目(YSXK0603)
关键词
半环
子半环
理想
近理想
semiring
subsemiring
ideal
nearly - ideal
