On the boundedness of the type of an almost Gorenstein monomial curve in 𝔸5

DOI10.1080/00927872.2022.2131803OpenAlexW4306154888MaRDI QIDQ5882674

Alessio Moscariello

Publication date: 17 March 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.14100

zbMATH Keywords

Cohen-Macaulay typealmost symmetric numerical semigroupsalmost Gorenstein local ring

Mathematics Subject Classification ID

Commutative semigroups (20M14) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Semigroup rings, multiplicative semigroups of rings (20M25) Arithmetic rings and other special commutative rings (13F99)

Uses Software

• numericalsgps

Cites Work

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• Almost Gorenstein rings - towards a theory of higher dimension
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• Almost symmetric numerical semigroups
• When is \(\mathfrak{m}:\mathfrak{m}\) an almost Gorenstein ring?
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• Almost Symmetric Numerical Semigroups with Odd Generators
• Almost symmetric numerical semigroups with high type
• On the type and generators of monomial curves
• On numerical semigroups

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