Journal article
Integral Domains with Highly Nonunique Factorization
Results in Mathematics, Vol.33(1), pp.22-29
03/1998
DOI: 10.1007/BF03322066
Abstract
For a positive integer n, an atomic integral domain R is defined to be completely non- n- factorial if for any n atoms a1…, an, the product a1 … a n has as highly nonunique a factorization into atoms as possible in that given any n − 1 atoms b1,…, bnt - 1, b1 … b n− 1¦a1 … a n. We show that R is completely non-n-factorial for some n ≥ 2 if and only if (R, M) is a quasilocal domain with [M: M] a DVR having M as its maximal ideal.
Details
- Title: Subtitle
- Integral Domains with Highly Nonunique Factorization
- Creators
- D Anderson - Department of Mathematics The University of Iowa Iowa City IA 52242Scott Chapman - Department of Mathematics Trinity University 715 Stadium Drive San Antonio TX 78212-7200Dong Kwak - Department of Mathematics, College of Natural Science Kyungpook National University Ta Gu Korea
- Resource Type
- Journal article
- Publication Details
- Results in Mathematics, Vol.33(1), pp.22-29
- Publisher
- Birkhäuser-Verlag; Basel
- DOI
- 10.1007/BF03322066
- ISSN
- 0378-6218
- eISSN
- 1420-9012
- Language
- English
- Date published
- 03/1998
- Academic Unit
- Mathematics
- Record Identifier
- 9983985852602771
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