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A combinatorial formula for rational numbers

โœ Scribed by Marco Paluszny


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
137 KB
Volume
37
Category
Article
ISSN
0097-3165

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โœ Scott T. Chapman; Jeremy Herr; Natalie Rooney ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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