Shift modules, strongly stable ideals, and their dualities
Journal article, Peer reviewed
Published version
Åpne
Permanent lenke
https://hdl.handle.net/11250/3145061Utgivelsesdato
2023Metadata
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- Department of Mathematics [966]
- Registrations from Cristin [10399]
Originalversjon
Transactions of the American Mathematical Society - Series B. 2023, 10, 670-714. 10.1090/btran/137Sammendrag
We enrich the setting of strongly stable ideals (SSI): We introduce shift modules, a module category encompassing SSIs. The recently introduced duality on SSIs is given an effective conceptual and computational setting. We study SSIs in infinite dimensional polynomial rings, where the duality is most natural. Finally a new type of resolution for SSIs is introduced. This is the projective resolution in the category of shift modules.