A Formula for the Multiplicity of the Multi-graded Extended Rees Algebra

DOI10.1081/AGB-120021882zbMath1021.13001arXivmath/0409156OpenAlexW2592970539MaRDI QIDQ4408721

Clare D'Cruz

Publication date: 29 June 2003

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

Full work available at URL: https://arxiv.org/abs/math/0409156

zbMATH Keywords

mixed multiplicitiesmulti-graded extended Rees algebra

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Ideals and multiplicative ideal theory in commutative rings (13A15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (4)

Algorithms for computing mixed multiplicities, mixed volumes, and sectional Milnor numbers ⋮ Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications ⋮ On the multiplicity of multigraded modules over Artinian local rings ⋮ On the mixed multiplicities of multi-graded fiber cones

Cites Work

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• Extended Rees algebras and mixed multiplicities
• Multigraded Rees algebras and mixed multiplicities
• Certain graded algebras are always Cohen-Macaulay
• On the Cohen-Macaulay and Gorenstein properties of multigraded Rees algebras
• Reduction numbers and multiplicities of multigraded structures
• Multigraded Rees algebras of \({\mathfrak M}\)-primary ideals in local rings of dimension greater than one
• A note on form rings and ideals
• Generalizations of Reductions and Mixed Multiplicities
• The diagonal subring and the Cohen-Macaulay property of a multigraded ring

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