Remarks on Hilbert series of graded modules over polynomial rings

DOI10.1007/s00229-010-0341-9zbMath1198.13016OpenAlexW2081635100MaRDI QIDQ967648

Jan Uliczka

Publication date: 30 April 2010

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-010-0341-9

zbMATH Keywords

Hilbert seriesinteger Laurent function

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings and modules (associative rings and algebras) (16W50)

Related Items

Hilbert series of modules over positively graded polynomial rings ⋮ Hilbert depth of graded modules over polynomial rings in two variables ⋮ Four Generated, Squarefree, Monomial Ideals ⋮ How to compute the multigraded Hilbert depth of a module ⋮ Stanley depth and the lcm-lattice ⋮ Stanley decompositions and Hilbert depth in the Koszul complex ⋮ The behavior of Stanley depth under polarization ⋮ An algorithm to compute the Hilbert depth ⋮ How to compute the Stanley depth of a module ⋮ On the growth of deviations ⋮ Hilbert series and Hilbert depth of squarefree Veronese ideals ⋮ An Algorithm for Computing the Multigraded Hilbert Depth of a Module

Cites Work

• Hilbert functions of graded algebras
• Unnamed Item