Title of article :
ON NUMERICAL SEMIGROUPS WITH EMBEDDING DIMENSION THREE
Author/Authors :
MAHDAVI, Ali , RAHMATI, FARHAD , Kiani, Dariush
Abstract :
Let f ̸= 1; 3 be a positive integer. We prove that there exists a numerical semigroup S
with embedding dimension three such that f is the Frobenius number of S. We also show that the
same fact holds for affine semigroups in higher dimensional monoids.
Keywords :
simplicial affine semigroup , Numerical semigroup , Frobenius vector , Frobenius number
Journal title :
Astroparticle Physics
