A local ring is CM if and only if its residue field has a CM syzygy
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Publication:1192445
DOI10.3836/tjm/1270130388zbMath0778.13020OpenAlexW1980106270MaRDI QIDQ1192445
Publication date: 27 September 1992
Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3836/tjm/1270130388
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes and commutative rings (13D02)
Related Items (5)
Vanishing of cohomology over Gorenstein rings of small codimension ⋮ Free resolutions and change of rings ⋮ Tensor products of perfect modules and maximal surjective Buchsbaum modules ⋮ On linear maximal buchsbaum modules and the syzygy modules ⋮ Asymptotic behavior of dimensions of syzygies
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