2021/05/30 by Gunnar Fløystad, Fløystad, Gunnar
Mathematics · #05E40 #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Primary: 13C70 #Rings, Modules, and Algebras #Secondary: 13F20
paper · pdf · doi:10.48550/arxiv.2105.14604
openalex publication_date 2021/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We enrich the setting of strongly stable ideals (SSI): We introduce shift modules, a module category encompassing SSI's. The recently introduced duality on SSI's is given an effective conceptual and computational setting. We study strongly stable ideals in infinite dimensional polynomial rings, where the duality is most natural. Finally a new type of resolution for SSI's is introduced. This is the projective resolution in the category of shift modules.