We consider several classes of complete intersection numerical semigroups, arising from many different contexts like algebraic geometry, commutative algebra, coding theory and factorization theory. In particular, we determine all the logical implications among these classes and provide examples. Most of these classes are shown to be well-behaved with respect to the operation of gluing. © 2013 Springer Science+Business Media New York.

Classes of complete intersection numerical semigroups

Sammartano A.
2014-01-01

Abstract

We consider several classes of complete intersection numerical semigroups, arising from many different contexts like algebraic geometry, commutative algebra, coding theory and factorization theory. In particular, we determine all the logical implications among these classes and provide examples. Most of these classes are shown to be well-behaved with respect to the operation of gluing. © 2013 Springer Science+Business Media New York.
2014
Complete intersection
Free semigroup
Gluing
Numerical semigroup
Rectangular Apéry set
Semigroup of a plane branch
Telescopic semigroup
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1146495
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