Journal article
Monoid Domain Constructions of Antimatter Domains
Communications in Algebra, Vol.35(10), pp.3236-3241
09/21/2007
DOI: 10.1080/00914030701410294
Abstract
An integral domain without irreducible elements is called an antimatter domain. We give some monoid domain constructions of antimatter domains. Among other things, we show that if D is a GCD domain with quotient field K that is algebraically closed, real closed, or perfect of characteristic p > 0, then the monoid domain D[X; ℚ + ] is an antimatter GCD domain. We also show that a GCD domain D is antimatter if and only if P −1 = D for each maximal t-ideal P of D.
Details
- Title: Subtitle
- Monoid Domain Constructions of Antimatter Domains
- Creators
- D. D Anderson - Department of Mathematics , The University of IowaJ Coykendall - Department of Mathematics , North Dakota State UniversityL Hill - Department of Mathematics , Idaho State UniversityM Zafrullah - Department of Mathematics , Idaho State University
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra, Vol.35(10), pp.3236-3241
- DOI
- 10.1080/00914030701410294
- ISSN
- 0092-7872
- eISSN
- 1532-4125
- Publisher
- Taylor & Francis Group
- Language
- English
- Date published
- 09/21/2007
- Academic Unit
- Mathematics
- Record Identifier
- 9983985938702771
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