Length Complexity of Tensor Products

DOI10.1080/00927870903002547zbMath1197.13015arXiv0903.0647OpenAlexW2962835933MaRDI QIDQ3578225

Vasconcelos, Wolmer V.

Publication date: 14 July 2010

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

Full work available at URL: https://arxiv.org/abs/0903.0647

zbMATH Keywords

vector bundleCastelnuovo-Mumford regularitygraded moduletorsion modulecohomological degree

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Torsion theory for commutative rings (13D30)

Cites Work

• Length formulas for the local cohomology of exterior powers
• Tensor products of modules and the rigidity of Tor
• On the Fitting ideals in free resolutions
• On the number of generators of modules of homomorphisms
• The homological degree of a module
• Cohomological degrees and Hilbert functions of graded modules
• Comparing Castelnuovo-Mumford regularity and extended degree: The borderline cases

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