ABSTRACT

This paper aims at computing the t-dimension for two classes of integral domains, namely, v-coherent domains (of the form D + M) and power series rings over certain integral domains. As an application, we obtain the following: If A is an n-dimensional Prüfer domain which satisfies the SFT-property, or a PVD issued from an n-dimensional discrete valuation domain, then t-dim(A[[X]]) = t-dim(A) = dim(A).