The right-generators descendant of a numerical semigroup

Identifier:  imarina:6247902

Handle: https://hdl.handle.net/20.500.11797/imarina6247902

Authors:  Bras-Amoros, Maria; Fernandez-Gonzalez, Julio

Abstract:
© 2020 American Mathematical Society. For a numerical semigroup, we encode the set of primitive elements that are larger than its Frobenius number and show how to produce in a fast way the corresponding sets for its children in the semigroup tree. This allows us to present an efficient algorithm for exploring the tree up to a given genus. The algorithm exploits the second nonzero element of a numerical semigroup and the particular pseudo-ordinary case in which this element is the conductor.