G-fixed Ideals And Some Ideas With Stable Betti Numbers Under Shifting Operations

This article have two parts: G-fixed ideals and some ideas with stable Betti numbers on shifting operations.First, we obtain some results of G-fixed ideals and characterize some particular ideals by " G-fixed ideals ".Second, we think about the Conjecture([l]Conjecture8.7,Conjecture8.23;[2]Conjec-ture2.3) and prove that some particular ideals have the same graded Betti numbers via shifting operations,that's, (a).if is a simpcial complex and I is a monomial ideal generated in one degree,we have that ij(I ) = ij(I c), for i.j. (b). if I is squarefree componentwise linear,speacially I is weakly stable , we have that ,ij(I ) = ij(I s) =...