研究了半环的粗糙子半环和粗糙理想的性质；
The paper suggests the properties of rough subsemirings and rough ideal.
主要讨论对左（右）理想满足半极大条件的环与对零因子满足极大条件的环的性质。
In this pater , the proterties of the rings that satisfs the semi-maximum condition for left (right) ideal and maximum condition for zero-factor are discussed.
本文引入了半环的星元素、星理想、星同余等概念，得到了半环的星同余的一些重要性质。
In this paper, the concepts of star element, star ideals and star congruences of a semiring are introduced.
应用推荐