A factorization theorem for a certain class of graphs
β Scribed by Sukhamay Kundu
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 653 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
## Abstract We consider the following generalization of the notion of a structure recursive relative to a set __X.__ A relational structure __A__ is said to be a Ξ(__X__)βstructure if for each relation symbol __R__, the interpretation of __R__ in __A__ is β relative to __X__, where Ξ² = Ξ(__R__). We
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