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math.AC2026
Relative Gröbner bases of modules and applications in persistence theory
Fritz Grimpen, Matthias Orth, Anastasios Stefanou
Finitely generated modules over the polynomial ring in indeterminates are isomorphic to quotients of finite rank free modules. We introduce a theory of relative Gröbner bases…
math.AC2024
On minimal flat-injective presentations over local graded rings
Fritz Grimpen, Anastasios Stefanou
Flat-injective presentations were introduced by Miller (2020) to provide combinatorial descriptions of -graded modules. We consider them in the setting of local graded…