A Note on Relative Vaserstein Symbol

In an unpublished work of Fasel–Rao–Swan the notion relative Witt group WE(R,I) is defined. this paper, we will give details construction. Then study injectivity Vaserstein symbol VR,I:Um3(R,I)/E3(R,I)→WE(R,I). We establish if R a non-singular affine algebra dimension 3 over perfect C1-field and I local complete intersection ideal R. It natural to ask whether injective for singular 3-dimensional algebra. At end example which injective.