2013•Communications in AlgebraRequires access

Two-Extension of a Numerical Semigroup with Embedding Dimension Two

JOSE CARLOS ROSALES, M. B. Branco

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Abstract

Let S and be two numerical semigroups such that , and let d be a positive integer. We say that is a d-extension of S if . In this paper we study the set of numerical semigroups S such that S is a 2-extension of ⟨ n 1, n 2 ⟩.

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Let S and be two numerical semigroups such that , and let d be a positive integer. We say that is a d-extension of S if . In this paper we study the set of numerical semigroups S such that S is a 2-extension of ⟨ n 1, n 2 ⟩.

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Available abstract

Let S and be two numerical semigroups such that , and let d be a positive integer. We say that is a d-extension of S if . In this paper we study the set of numerical semigroups S such that S is a 2-extension of ⟨ n 1, n 2 ⟩.

Key concepts: Mathematics, Numerical semigroup, Extension (predicate logic), Dimension (graph theory), Embedding, Semigroup, Integer (computer science), Set (abstract data type)

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