Free resolutions of Artinian compressed algebras

DOI10.1016/j.jalgebra.2017.11.020zbMath1409.13029OpenAlexW2770966945MaRDI QIDQ1693090

Hamidreza Rahmati, Claudia M. Miller

Publication date: 11 January 2018

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.11.020

zbMATH Keywords

free resolutioninverse systemcompresseddivided power ringstandard graded Artinian algebras

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (4)

Structure theory for a class of grade 3 homogeneous ideals defining type 2 compressed rings ⋮ Minimal free resolutions of certain equigenerated monomial ideals ⋮ Resolution and Tor algebra structures of grade 3 ideals defining compressed rings ⋮ Canonical resolutions over Koszul algebras

Cites Work

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• Betti numbers of compressed level algebras
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• On the weak Lefschetz property for artinian Gorenstein algebras of codimension three
• Poincaré series of modules over compressed Gorenstein local rings
• Monomial ideals, almost complete intersections and the Weak Lefschetz property
• Compressed Algebras: Artin Algebras Having Given Socle Degrees and Maximal Length
• Géométrie des points épais
• Nonunimodality of Graded Gorenstein Artin Algebras
• Infective Envelopes and Inverse Polynomials

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