半群的Goldie　Torsion理论和Lambek　Torsion理论

Goldie Torsion Theories and Lambek Torsion Theories of Semigroups

在文［１］，［３］的基础上，讨论了ＧｏｌｄｉｅＴｏｒｓｉｏｎ理论和ＬａｍｂｅｋＴｏｒｓｉｏｎ理论的一些性质以及它们间的关系，刻画了相应的右同余拟滤子；并对这两种遗传Ｔｏｒｓｉｏｎ理论，研究了环和其乘法半群之间等Ｔｏｒｓｉｏｎ性问题，获得了一些较有意义的结论．

Based on [1]and [3],to discuss some properties and relationships of Goldie and Lambek Torsion theories between them,characterize their quasi -filters of right congruences.For them,the equitorsion of the multiplicative semigroup of R and the ring R is also studied,some significant results are obtained.