Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4597854 | Journal of Pure and Applied Algebra | 2009 | 10 Pages |
Abstract
Let SS be a numerical semigroup and let pp be a positive integer. Then the quotient Sp={x∈N∣px∈S} is also a numerical semigroup. When p=2p=2 we say that S2 is half of the numerical semigroup SS. Dually, we say that SS is a double of the numerical semigroup S2. We characterize the set of all doubles of a numerical semigroup. We also give some alternative proofs and improvements for some results that we find in previous papers.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Aureliano M. Robles-Pérez, José Carlos Rosales, Paulo Vasco,