I-stable ideals

DOI10.1070/IM2002V066N03ABEH000392zbMATH Open1078.13514OpenAlexW1979644497MaRDI QIDQ4709979

D. Shakin

Publication date: 7 October 2003

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2002v066n03abeh000392

zbMATH Keywords

monomial idealCohen-Macaulaynessgraded Betti numbersGorensteinnessGolod ringsminimal resolutions of \(I\)-stable ideals

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Syzygies, resolutions, complexes and commutative rings (13D02) Ideals and multiplicative ideal theory in commutative rings (13A15) Cohen-Macaulay modules (13C14)

Related Items (8)

Superficial saturation ⋮ A formula for the core of certain strongly stable ideals ⋮ Stanley filtrations and strongly stable ideals ⋮ Prestable ideals and Sagbi bases ⋮ A note on the topological stable rank of an ideal ⋮ Stability, duality, 2-generated ideals and a canonical decomposition of modules ⋮ Resolutions of \textbf{a}-stable ideals. ⋮ A characterization of stable and Borel ideals

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