Codimension and projective dimension up to symmetry

DOI10.1002/mana.201800413OpenAlexW3101955291WikidataQ126628339 ScholiaQ126628339MaRDI QIDQ5109387

Dinh Van Le, Tim Römer, Dang Hop Nguyen, Uwe Nagel

Publication date: 11 May 2020

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.06877

zbMATH Keywords

polynomial ringsymmetric groupmonoidinvariant ideal

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Actions of groups on commutative rings; invariant theory (13A50) Syzygies, resolutions, complexes and commutative rings (13D02) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (10)

Invariant Chains in Algebra and Discrete Geometry ⋮ Theorems of Carathéodory, Minkowski–Weyl, and Gordan up to Symmetry ⋮ Betti numbers of symmetric shifted ideals ⋮ An equivariant Hochster's formula for Sn$\mathfrak {S}_n$‐invariant monomial ideals ⋮ MFO-RIMS tandem workshop: Symmetries on polynomial ideals and varieties. Abstracts from the MFO-RIMS tandem workshop held September 5--11, 2021 (hybrid meeting) ⋮ Betti tables of monomial ideals fixed by permutations of the variables ⋮ Lefschetz properties in algebra, geometry and combinatorics. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting) ⋮ Regularity of \(\mathfrak{S}_n\)-invariant monomial ideals ⋮ Rationality of equivariant Hilbert series and asymptotic properties ⋮ Components of symmetric wide-matrix varieties

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