Duality and syzygies for semimodules over numerical semigroups
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Title
Duality and syzygies for semimodules over numerical semigroupsDate
2015-02Publisher
Springer VerlagBibliographic citation
Moyano-Fernández, J.J. & Uliczka, J. Semigroup Forum (2016) 92: 675Type
info:eu-repo/semantics/articlePublisher version
http://link.springer.com/article/10.1007/s00233-015-9700-xVersion
info:eu-repo/semantics/sumittedVersionSubject
Abstract
Let Γ=⟨α,β⟩ be a numerical semigroup. In this article we consider the dual Δ∗ of a Γ-semimodule Δ; in particular we deduce a formula that expresses the minimal set of generators of Δ∗ in terms of the generators of Δ. ... [+]
Let Γ=⟨α,β⟩ be a numerical semigroup. In this article we consider the dual Δ∗ of a Γ-semimodule Δ; in particular we deduce a formula that expresses the minimal set of generators of Δ∗ in terms of the generators of Δ. As applications we compute the minimal graded free resolution of a graded F[tα,tβ]-submodule of F[t], and we investigate the structure of the selfdual Γ-semimodules, leading to a new way of counting them. [-]
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Semigroup Forum, February 2015Rights
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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- MAT_Articles [766]