Macaulay Bases of Modules

We introduce fully general Macaulay bases of modules, which are a common generalization of Groebner bases and Macaulay 𝐻-bases to suitably graded modules over a commutative graded k-algebra, where the index sets of the two gradings may differ. The additional generality includes Groebner bases of mod...

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Bibliographic Details
Main Author: Rao, Sujit
Other Authors: Parrilo, Pablo A.
Format: Thesis
Published: Massachusetts Institute of Technology 2022
Online Access:https://hdl.handle.net/1721.1/139576