Pythagorean Triples in Uniquef Factorization Domains
โ Scribed by K. K. Kubota
- Book ID
- 115528654
- Publisher
- Mathematical Association of America
- Year
- 1972
- Tongue
- English
- Weight
- 350 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0002-9890
- DOI
- 10.2307/2317570
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let D be a Noetherian domain. Then it is well known that D is atomic, i.e. every non-zero non-unit a โ D possesses a factorization a = u1 โข : : : โข un into irreducible elements ui of D. The integer n in this equation is called the length of the factorization. In general, elements of Noetherian domai
Let R be an integral domain. In this paper, we introduce a sequence of factorization properties which are weaker than the classical UFD criteria. We give several examples of atomic nonfactorial monoids which satisfy these conditions, but show for several classes of integral domains of arithmetical i