Journal article
Integral domains of finite t-character
Journal of algebra, Vol.396, pp.169-183
12/15/2013
DOI: 10.1016/j.jalgebra.2013.08.014
Abstract
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.
Details
- Title: Subtitle
- Integral domains of finite t-character
- Creators
- D.D Anderson - Department of Mathematics, The University of Iowa, Iowa City, IA 52242, USAGyu Whan Chang - Department of Mathematics, University of Incheon, Incheon 406-772, Republic of KoreaMuhammad Zafrullah - Department of Mathematics, Idaho State University, Pocatello, ID 83209, USA
- Resource Type
- Journal article
- Publication Details
- Journal of algebra, Vol.396, pp.169-183
- DOI
- 10.1016/j.jalgebra.2013.08.014
- ISSN
- 0021-8693
- eISSN
- 1090-266X
- Publisher
- Elsevier Inc
- Grant note
- name: University of Incheon, award: 2012-0046
- Language
- English
- Date published
- 12/15/2013
- Academic Unit
- Mathematics
- Record Identifier
- 9983985811402771
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