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math.AC2023
Classifying Betti Numbers of Fiber Products
Ela Celikbas, Hugh Geller, Tony Se
We consider fiber products of complete, local, noetherian algebras over a fixed residue field. Some of these rings cannot be minimally resolved with a free resolution using the rec…
math.AC2023
Semidualizing Modules over Numerical Semigroup Rings
Ela Celikbas, Hugh Geller, Toshinori Kobayashi
A semidualizing module is a generalization of Grothendieck's dualizing module. For a local Cohen-Macaulay ring , the ring itself and its canonical module are always realized as…