Integral domains of finite t-character

An integral domain D is said to be of finite t-character if each nonzero nonunit of D is contained in only finitely many maximal t-ideals of D. For example, Noetherian domains and Krull domains are of finite t -character. In this paper, we study several properties of integral domains of finite t  -character. We also show when the ring D(S)=D+XDS[X]D(S)=D+XDS[X] is of finite t-character, where X is an indeterminate over D and S is a multiplicative subset of D.