Multiplicities in graded rings II: integral equivalence and the Buchsbaum–Rim multiplicity

DOI10.1017/S0305004100074326zbMath0877.13023OpenAlexW2127183229MaRDI QIDQ4877673

David Rees, David Kirby

Publication date: 30 June 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100074326

zbMATH Keywords

degreelocal ringBuchsbaum-Rim multiplicitiesintegral radical

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Graded rings (13A02)

Related Items (18)

Submodules of minimal Buchsbaum-Rim multiplicity and applications ⋮ Mixed Newton numbers and isolated complete intersection singularities ⋮ A formula for the associated Buchsbaum-Rim multiplicities of a direct sum of cyclic modules ⋮ On some multiplicity and mixed multiplicity formulas ⋮ ANALYTIC SPREAD AND INTEGRAL CLOSURE OF INTEGRALLY DECOMPOSABLE MODULES ⋮ Dagger categories of tame relations ⋮ A formula for the associated Buchsbaum–Rim multiplicities of a direct sum of cyclic modules II ⋮ Mixed multiplicities of multigraded modules ⋮ Causal commutative arrows ⋮ Mixed multiplicities and the minimal number of generator of modules ⋮ A note on joint reductions and mixed multiplicities ⋮ Mixed Multiplicities of Maximal Degrees (J. Korean Math. Soc. 55 (2018), No. 3, 605-622) ⋮ On (FC)-sequences and mixed multiplicities of multi-graded algebras ⋮ Integrally Closed Modules Over Two-Dimensional Regular Local Rings ⋮ Obituary: David Rees 1918--2013 ⋮ David Rees, FRS 1918–2013 ⋮ Mixed multiplicities and the multiplicity of Rees modules of reductions ⋮ On commutative algebra and characteristic-free representation theory

Cites Work

• Unnamed Item
• Unnamed Item
• General elements and joint reductions
• A geometric theory of the Buchsbaum-Rim multiplicity
• On the Buchsbaum-Rim Multiplicity associated with a Matrix
• Generalizations of Reductions and Mixed Multiplicities
• Amao's Theorem and Reduction Criteria
• Graded Multiplicity Theory and Hilbert Functions
• A Generalized Koszul Complex. II. Depth and Multiplicity

This page was built for publication: Multiplicities in graded rings II: integral equivalence and the Buchsbaum–Rim multiplicity