由e-分量元素性质确定的分次特殊根的分次模刻划

The Graded Module Characterization for the Graded Special Radicals Determined by Element Properties of e-Component

有相当多的分次根是由分次环的 e-分量元素性质所确定的 .如分次 Jacobson根 JG( A)是由 Ae元素的左拟正则性确定的 .将在一般 Monoid-分次环范畴中 ,对由 e-分量元素性质确定的一类分次特殊根给出了统一的分次模刻划 .

Many graded radicals are determined by properties of the elements of e-component.For example,graded Ja cobson radicals J G(A) are d etermined by the left quasi-regular properties of the elements of A e. The uni form graded module characterization for a kind of graded special radical determined by element propeoties of e-componant is r epresented in general Monoid-graded ring categories.