Journal article
Unique factorization in non-atomic integral domains
Bollettino della Unione Matematica Italiana B, Vol.2B(2), pp.341-352
1999
Abstract
In a UFD each non-unit element $\neq 0$ can be expressed uniquely in the form $up_{1}^{a_{1}}\ldots p_{n}^{a_{n}}$ where $u$ is a unit element, $p_i$ are unbound primes, and each $a_{i} \geq 1$. To study this factorization in a non-atomic field, a number of generalizations of the power of a prime $p^{n}$ are examined. For many of these generalizations, it is proved that a unique form of factorization is obtained and related, in the case of $R$ is an integrity domain, with finite character representations of $R$.
Details
- Title: Subtitle
- Unique factorization in non-atomic integral domains
- Creators
- D.D. AndersonJ.L. MottM. Zafrullah
- Resource Type
- Journal article
- Publication Details
- Bollettino della Unione Matematica Italiana B, Vol.2B(2), pp.341-352
- ISSN
- 0392-4041
- Language
- English
- Date published
- 1999
- Academic Unit
- Mathematics
- Record Identifier
- 9984230628702771
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