The Dedekind-Mertens formula and determinantal rings

DOI10.1090/S0002-9939-99-04535-9zbMath0915.13008OpenAlexW1495230207MaRDI QIDQ4226271

Anna Guerrieri, Winfried Bruns

Publication date: 25 January 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04535-9

zbMATH Keywords

Cohen-Macaulay moduleinitial idealdeterminantal ringcontent idealDedekind-Mertens formula

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Cohen-Macaulay modules (13C14)

Related Items (17)

Cohen-Macaulay Classes Which Are Not Conic ⋮ Blow-up algebras, determinantal ideals, and Dedekind-Mertens-like formulas ⋮ On the Jacobian ideal of a trilinear form ⋮ The resolution of the universal ring for modules of rank zero and projective dimension two ⋮ An Explicit, Characteristic-Free, Equivariant Homology Equivalence Between Koszul Complexes ⋮ Jacobian ideals of trilinear forms: An application of 1-genericity ⋮ Dedekind-Mertens lemma and content formulas in power series rings ⋮ The content of a Gaussian polynomial is invertible ⋮ Initial algebras of determinantal rings, Cohen-Macaulay and Ulrich ideals ⋮ THE COHOMOLOGY OF THE KOSZUL COMPLEXES ASSOCIATED TO THE TENSOR PRODUCT OF TWO FREE MODULES ⋮ On the content of polynomials over semirings and its applications ⋮ Exact pairs of homogeneous zero divisors ⋮ Monomial and toric ideals associated to Ferrers graphs ⋮ The power series Dedekind-Mertens number ⋮ Dedekind-Mertens lemma for power series in an arbitrary set of indeterminates ⋮ A generalized Dedekind-Mertens lemma and its converse ⋮ The Dedekind-Mertens lemma and the contents of polynomials

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