Journal article
Factorization in Integral Domains without Identity
Resultate der Mathematik, Vol.55(3-4), pp.249-264
11/2009
DOI: 10.1007/s00025-009-0405-x
Abstract
We investigate factorization in a nonzero integral domain A without identity. Now A may be viewed as a proper ideal of an integral domain D with identity having the same quotient field as A where A[1]⊆D⊆A:A. We study the relationship between factorization in A and D, especially in the case where D = A[1] or A:A. Particular interest is given to various notions of unique factorization in A and to the relationship between A or D being atomic, satisfying ACCP, or being a bounded factorization domain, half-factorial domain, or finite factorization domain.
Details
- Title: Subtitle
- Factorization in Integral Domains without Identity
- Creators
- D. D AndersonJonathan Preisser
- Resource Type
- Journal article
- Publication Details
- Resultate der Mathematik, Vol.55(3-4), pp.249-264
- DOI
- 10.1007/s00025-009-0405-x
- ISSN
- 1422-6383
- eISSN
- 1420-9012
- Language
- English
- Date published
- 11/2009
- Academic Unit
- Mathematics
- Record Identifier
- 9983985823502771
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