Integral domains of finite t-character

[摘要] 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] is of finite t-character, where X is an indeterminate over D and S is a multiplicative subset of D. (C) 2013 Elsevier Inc. All rights reserved.

[发布日期] 2013-12-15

[关键词] t-operation;Integral domain of finite t-character;D + XDS[X];PvMD;Nagata-like theorem