Betti numbers and the integral closure of ideals.

DOI10.7146/math.scand.a-12302zbMath0693.13005OpenAlexW2531084253MaRDI QIDQ3035410

Sang-Ki Choi

Publication date: 1990

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167103

zbMATH Keywords

noetherian local ringintegal closurenondecreasing of the Betti sequence

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Commutative Noetherian rings and modules (13E05) Local rings and semilocal rings (13H99)

Related Items (5)

Bounds on the Hilbert-Kunz multiplicity ⋮ Growth of Betti numbers of modules over local rings of small embedding codimension or small linkage number ⋮ Exponential growth of Betti numbers ⋮ Exponential growth of Betti numbers ⋮ Asymptotic behavior of dimensions of syzygies

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