粗子 meaning in English

arako

Moreover , rough sets in a ring is studied and the concepts of rough subrings , rough ideals are been first introduced . under the condition of the congruence relation determined by a given ideal in a ring , rough sets of a subring is proved to be its subring , while that of a ideal is also proved to be its ideal
进一步，研究了环中的粗糙集，引入了粗子环和粗理想的概念，证明了在环中一固定的理想所决定的同余关系下，子环的粗糙集是子环，左(右，双)理想的粗糙集是左(右，双)理想。
Rough ideals in a semigroup have been studied and the concepts of rough subsemigroups , rough ideals been first introduced by kuroki n . under the condition of the congruence relation , rough sets of a subsemigroup was proved to be its subsemigroup , while that of a left ( right , bisides ) ideal was also proved to be its left ( right , bisides ) ideal . next , rough sets in a group have been studied and the concepts of rough subgroups , rough nornal subgroups been first introduced
Kurokin研究了半群中的粗理想，首次提出了粗子半群和粗理想的概念，证明了在同余关系下，半群的粗糙集是半群，左(右，双)理想的粗糙集是左(右，双)理想。接着，他又研究了群中的粗糙集，首次提出了粗子群和粗正规子群的概念，证明了在群中一固定的正规子群所决定的同余关系下，子群的粗糙集是子群，正规子群的粗糙集是正规子群。