The relative defects corresponding to the common roots of algebroid functions

In this paper, relative defect and absolute defect of derivative of algebroid functions in the plane are defined . Under the conditions of $N(r,\frac{1}{W})=S(r,W),~~N(r,\frac{1}{M})=S(r,M)$ and $T(r,W')\sim lT(r,W),~~T(r,M')\sim lT(r,M)$, the relative defects on common roots of two $v$-valued algebroid functions $W(z),M(z)$ with common roots are studied respectively. The results obtained generalize some results on meromorphic functions of Singh A.p..