Balanced numerical semigroups |
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| Authors: | Jeremy?Thompson Email author" target="_blank">Kurt?HerzingerEmail author Trae?Holcomb |
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| Institution: | 1.Department of Mathematical Sciences,United States Air Force Academy,Colorado Springs,USA;2.Department of Mathematics and Physics,Houston Baptist University,Houston,USA |
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| Abstract: | We investigate the Frobenius number, genus, type, and minimal presentation of a class of numerical semigroups of embedding dimension 4 of the form \(S = \langle a_1, a_2, a_3, a_4 \rangle \) such that \(a_1 + a_4 = a_2 + a_3\). The investigation focuses on determining the Apery set of S with respect to the multiplicity. |
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