基于环满同态的研究

Research on Ring Epimorphisms between Commutative Rings

针对Silvna Bazzoni和Giovanna Le Gros提出的公开问题:当u是一个平坦的非单射的环满同态,那么U⊕K作为R-模是否为一个silting模.本文设0→I→R→^(u)U→K→0是一个正合列,其中u为交换环之间的一个平坦的环满同态,证明U⊕K作为R-模是一个finendo拟倾斜模.本文结论部分回答了该问题.

Let 0→I→R→^(u)U→K→0 be an exact sequence,where u is a flat ring epimorphism between commutative rings.It shows that U⊕K is a finendo quasitilting module as R-Module.In fact,the result partial answers the open question posed by Silvna Bazzoni and Giovanna Le Gros is that U⊕K a silting module as R-Module when u is a flat non-injective ring epimorphism.