  We present a supermatrix realisation of q-deformed spinor-spinor and
spinor-vector R-matrices. These R-matrices are then used to construct transfer
matrices for $U_{q^2}(\mathfrak{so}_{2n+1})$- and
$U_{q}(\mathfrak{so}_{2n+2})$-symmetric closed spin chains. Their eigenvectors
and eigenvalues are computed.
