A note on the computation of the Frobenius number of a numerical   semigroup
  In this note we observe that the Frobenius number and therefore the conductor of a numerical semigroup can be obtained from the maximal socle degree of the quotient of the corresponding semigroup algebra by the ideal generated by the biggest generator of the semigroup. 
Julio Jos\'e Moyano-Fern\'andez
math.AC