临界可压缩模类与弱Jacobson根

本文讨论临界可压缩模类和结合环的弱Ｊａｃｏｂｓｏｎ根．首先，我们证明了非平凡的临界可压缩模类是素模的特殊类．其次，我们引入结合环的弱Ｊａｃｏｂｓｏｎ根．弱Ｊａｏｎｂｓｏｎ根是特殊根．最后，我们给出有关弱本原环，半弱本原环和弱Ｊａｃｏｂｓｏｎ根环的某些性质．

Critically Compressible Module Class and Weakly Jacobson Radical

In the paper, we prove that the critically compressible module class is a special class of prime modules.Then, we introduce the weakly Jacobson radjial of the associativ rings. The weakly Jacobson radial is a radidcal in the sense of Amitsur and Kurosh, hereditary, special and supernilpoten. At the same time the we obtain some properties of the weakly primitive ring and WJ-semismple ring.