“…Let R be a fiber product k[[t 5 , t 8 , t 12 Then, it is clear that R is not a domain. On the other hand, since both T(k[[t 5 , t 8 , t 12 , t 14 ]]) and T(k[[t 9 , t 12 , t 16 , t 19 , t 20 , t 22 , t 23 , t 26 ]]) are finite by Example 4.3, T(R) is also finite.…”