Numerical Semigroup Rings of Maximal Embedding Dimension with Determinantal Defining Ideals

DOI10.1007/978-3-030-40822-0_12zbMath1484.13032OpenAlexW3024273739MaRDI QIDQ5115897

Do Van Kien, Naoyuki Matsuoka

Publication date: 21 August 2020

Published in: Numerical Semigroups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-40822-0_12

zbMATH Keywords

Cohen-Macaulay ringminimal free resolutiongraded ringpseudo-Frobenius numbernumerical semigroupnumerical semigroup ringsymbolic Rees algebra

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Determinantal varieties (14M12) Semigroups (20Mxx)

Cites Work

• Unnamed Item
• Unnamed Item
• On the existence of Weierstrass points with a certain semigroup generated by 4 elements
• Hilbert functions and symbolic powers
• Symmetric semigroups of integers generated by 4 elements
• On graded rings. I
• One-dimensional almost Gorenstein rings
• Pseudo-Frobenius numbers versus defining ideals in numerical semigroup rings
• Almost Gorenstein monomial curves in affine four space
• Minimal graded free resolutions for monomial curves defined by arithmetic sequences
• Generators and relations of abelian semigroups and semigroup rings
• Minimal graded free resolutions for monomial curves in 𝔸⁴defined by almost arithmetic sequences
• Ideals defined by matrices and a certain complex associated with them
• A Prime Ideal in a Polynomial Ring Whose Symbolic Blow-up is Not Noetherian
• Non-Cohen-Macaulay Symbolic Blow-Ups for Space Monomial Curves and Counterexamples to Cowsik's Question
• The Cohen-Macaulay symbolic Rees algebras for curve singularities
• Symbolic algebras of monomial primes.

This page was built for publication: Numerical Semigroup Rings of Maximal Embedding Dimension with Determinantal Defining Ideals