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Algebraic Approximation of Cohen-Macaulay Algebras

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Publication:6397355

DOI10.1016/J.JALGEBRA.2023.02.030arXiv2204.11439MaRDI QIDQ6397355

Author name not available (Why is that?)

Publication date: 25 April 2022

Abstract: This paper shows that Cohen-Macaulay algebras can be algebraically approximated in such a way that their Cohen-Macaulayness and minimal Betti numbers are preserved. This is achieved by showing that finitely generated modules over power series rings can be algebraically approximated in a manner that preserves their diagrams of initial exponents and their minimal Betti numbers. These results are also applied to obtain an approximation result for flat homomorphisms from rings of power series to Cohen-Macaulay algebras.





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