The canonical module of a one-dimensional reduced local ring
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Publication:4351708
DOI10.1080/00927879708826033zbMath0889.13006OpenAlexW2151365442MaRDI QIDQ4351708
Publication date: 18 June 1998
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879708826033
Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Other special types of modules and ideals in commutative rings (13C13)
Related Items (24)
Properties of factorizations with successive lengths in one-dimensional local domains ⋮ A construction of Gorenstein rings ⋮ Arf good semigroups ⋮ On the Colength of Fractional Ideals ⋮ When is \(\mathfrak{m}:\mathfrak{m}\) an almost Gorenstein ring? ⋮ Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid ⋮ Gorenstein endomorphism rings on curve singularities ⋮ Max Noether's theorem for singular curves ⋮ Embedding Dimension of a Good Semigroup ⋮ Poincaré Series on Good Semigroup Ideals ⋮ The value semiring of an algebroid curve ⋮ The Apéry Set of a Good Semigroup ⋮ Properties and applications of the Apéry set of good semigroups in \(\mathbb{N}^d\) ⋮ On Canonical Ideals of One-Dimensional Local Analytically Irreducible Rings ⋮ Good subsemigroups of ℕn ⋮ The tree of good semigroups in \(\mathbb{N}^2\) and a generalization of the Wilf conjecture ⋮ The type of a good semigroup and the almost symmetric condition ⋮ Standard bases for fractional ideals of the local ring of an algebroid curve ⋮ Arf good semigroups with fixed genus ⋮ Ring and Semigroup Constructions ⋮ An algorithm for computing the Arf closure of an algebroid curve with more than one branch ⋮ Partition of the complement of good semigroup ideals and Apéry sets ⋮ The semigroup of values of a one-dimensional local ring with two minimal primes ⋮ On value sets of fractional ideals
Cites Work
- Gorenstein curves and symmetry of the semigroup of values
- Längenberechnung und kanonische Ideale in eindimensionalen Ringen
- Gorenstein property and symmetry for one-dimensional local Cohen-Macaulay rings
- On canonical ideals, intersection numbers, and Weierstrass points on Gorenstein curves
- Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
- 1-dimensional Cohen-Macaulay rings
- Semigroups associated to singular points of plane curves.
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