On the existence of maximal Cohen-Macaulay modules over 𝑝th root extensions

DOI10.1090/S0002-9939-99-04880-7zbMath0918.13004OpenAlexW1597086103MaRDI QIDQ4252907

Daniel Katz

Publication date: 23 June 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04880-7

zbMATH Keywords

maximal Cohen-Macaulay moduleintegral closurehomological conjecturesmixed characteristicfinite extension of an unramified regular local ring

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Extension theory of commutative rings (13B02) Cohen-Macaulay modules (13C14) Regular local rings (13H05)

Related Items (7)

Tensor complexes: multilinear free resolutions constructed from higher tensors ⋮ Remarks on the small Cohen-Macaulay conjecture and new instances of maximal Cohen-Macaulay modules ⋮ On the integral closure of radical towers in mixed characteristic ⋮ Conductors in mixed characteristic ⋮ Splitting of local cohomology of syzygies of the residue field ⋮ Existence of birational small Cohen-Macaulay modules over biquadratic extensions in mixed characteristic ⋮ On the existence of birational maximal Cohen-Macaulay modules over biradical extensions in mixed characteristic

This page was built for publication: On the existence of maximal Cohen-Macaulay modules over 𝑝th root extensions