笔记
发表于 2025-3-21 17:32:51
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chemoprevention
发表于 2025-3-21 22:10:01
Numerical semigroups with maximal embedding dimension,they have become specially renowned due to the existing applications to commutative algebra via their associated semigroup ring (see for instance ). They are a source of examples of commutative rings with some maximal properties. As we mentioned in the introduction of Chapter
间接
发表于 2025-3-22 01:38:17
Irreducible numerical semigroups, these semigroups is due mainly to Kunz, who in his manuscript proves that a onedimensional analytically irreducible Noetherian local ring is Gorenstein if and only if its value semigroup is symmetric. Symmetric numerical semigroups always have odd Frobenius number. The translation of this conc
提升
发表于 2025-3-22 07:12:35
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把…比做
发表于 2025-3-22 10:02:07
Presentations of a numerical semigroup,e fact that every finitely generated (commutative) monoid is finitely presented. Rédei’s proof is long and elaborated. Many other authors have given alternative and much simpler proofs than his (see for instance ). Since numerical semigroups are cancellative monoids, a different appr
NOMAD
发表于 2025-3-22 13:23:19
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Glossy
发表于 2025-3-22 20:16:27
Numerical semigroups with embedding dimension three,h the help of Proposition 1.17 and what we know about embedding dimension two numerical semigroups, a formula for the Frobenius number and the genus of a symmetric numerical semigroup with embedding dimension three can easily be found. As for the pseudo-symmetric case, an expression for the Frobeniu
probate
发表于 2025-3-22 21:50:51
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弯曲道理
发表于 2025-3-23 01:38:16
Book 2009and Sylvester at the end of the 19th century. This is how for instance the Frobenius problem arose, concerned with ?nding a formula depending on n ,...,n for the largest integer not belonging to hn ,...,n i (see 1 e 1 e for a nice state of the art on this problem).
松软无力
发表于 2025-3-23 06:33:06
1389-2177 ber theory, coding theory, algebraic geometry, and others.ThLet N be the set of nonnegative integers. A numerical semigroup is a nonempty subset S of N that is closed under addition, contains the zero element, and whose complement in N is ?nite. If n ,...,n are positive integers with gcd{n ,...,n }