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Generalizations of a class-number formula of Gauss

✍ Scribed by Gordon Pall; Charles Parry


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
106 KB
Volume
5
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES


A Factorization Formula for Class Number
✍ Scott T. Chapman; Jeremy Herr; Natalie Rooney πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 125 KB

Let R be an atomic integral domain. R is a half-factorial domain (HFD) if whenever x 1 } } } x n = y 1 } } } y m for x 1 , ..., x n , y 1 , ..., y m irreducibles of R, then n=m. A well known result of L. Carlitz (1960, Proc. Amer. Math. Soc. 11, 391 392) states that the ring of integers in a finite