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Equivariant Gr\"obner bases

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Publication:4627686
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zbMath1411.13029arXiv1610.02075MaRDI QIDQ4627686

Robert Krone, Christopher J. Hillar, Anton Leykin

Publication date: 11 March 2019

Full work available at URL: https://arxiv.org/abs/1610.02075


zbMATH Keywords

Gröbner basisgenerating setssymmetric groupwell-quasi-orderinginvariant idealinfinite dimensional algebra


Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Commutative Noetherian rings and modules (13E05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Symmetric groups (20B30)


Related Items (5)

Finite numbers of initial ideals in non-Noetherian polynomial rings ⋮ Theorems of Carathéodory, Minkowski–Weyl, and Gordan up to Symmetry ⋮ Noetherianity and Specht problem for varieties of bicommutative algebras ⋮ Rationality of equivariant Hilbert series and asymptotic properties ⋮ Normalization of indexed differentials by extending Gröbner basis theory


Uses Software

  • Macaulay2
  • 4ti2
  • EquivariantGB



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