Minimal Generating Sets for Relative Ideals in Numerical Semigroups of Multiplicity Eight

DOI10.1081/AGB-200036841zbMath1068.20060MaRDI QIDQ4678711

Ryan Sanford, Kurt Herzinger

Publication date: 23 May 2005

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

zbMATH Keywords

numerical semigroupsminimal generating setsrelative ideals

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05)

Related Items (4)

Huneke-Wiegand conjecture and change of rings ⋮ Constructing 2 × 2 Bricks from Unitary Numerical Semigroups ⋮ Unitary Numerical Semigroups and Perfect Bricks ⋮ Perfect Pairs of Ideals and Duals in Numerical Semigroups

Cites Work

• Tensor products of modules and the rigidity of Tor
• IDEALS AND DUALS GENERATED BY TWO ELEMENTS IN NON-SYMMETRIC NUMERICAL SEMIGROUPS
• The number of generators for an ideal and its dual in a numerical semigroup
• Tensor products of modules, rigidity and local cohomology.
• Vanishing of tor and torsion in tensor products
• Torsion in the tensor product of an ideal with its inverse
• On numerical semigroups

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