Integral domains of finite t-character

JOURNAL OF ALGEBRA

卷:396

Article

Anderson, D. D.¹  Chang, Gyu Whan²  Zafrullah, Muhammad³ 

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] Univ Incheon, Dept Math, Inchon 406772, South Korea

[3] Idaho State Univ, Dept Math, Pocatello, ID 83209 USA

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

DOI  :  10.1016/j.jalgebra.2013.08.014

来源: Elsevier

【 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.

【 授权许可】

Free