摘要
研究了半环的粗糙子半环和粗糙理想的性质;利用半环的非空子集上关于同余关系的上、下近似,给出了半环的粗糙子半环的定义,证明了半环的子半环、理想一定是半环的粗糙子半环、粗糙理想.
The paper suggests the properties of rough subsemirings and rough ideal. Using the upper and lower approximations about congruence on subsets, the notion of the rough subsemifings on the semifings is given; it is proved that the subsemifings and ideal of the semiribgs are the rough subseming and rough ideal of the semifings.
出处
《渭南师范学院学报》
2007年第2期22-24,共3页
Journal of Weinan Normal University
基金
陕西省教育厅自然科学基金项目(06JK302)
渭南师范学院科研基金项目(07YKZ069)
关键词
半环
同余关系
粗糙子半环
粗糙理想
semirings
congruence relation
rough subsemirings
rough ideal