Titlebook: Commutative Algebra; Proceedings of a Mic M. Hochster,C. Huneke,J. D. Sally Conference proceedings 1989 Springer-Verlag New York Inc. 1989

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0940-4740 ences Research Institute at Berkeley. The intent of the microprogram was to survey recent major results and current trends in the theory of commutative rings, especially commutative Noetherian rings. There was enthusiastic international participation. The papers in this volume, some of which are exp

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https://doi.org/10.1057/9780230285873.. For every resolution F:.of k and for every system of parameters x.,…, x. of A, if φ is any map from the Koszul complex K.(.; A) (. stands for x.,…, x.)to F which lifts the natural surjection . is non-zero.

Foreknowledge

The Lebedev Physics Institute Seriesoda that the integral closure of the nth power of an .-generator ideal of a regular ring is contained in the ideal, the monomial conjecture, the syzygy theorem, and that summands of regular rings are Cohen-Macaulay (C-M).

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The Lebedev Physics Institute Series .* = .(0) ⊃ C(1) ⊃ ⋯ ⊃ .(.+1) = 0, whose successive quotients .(α) = C(α)/C(α+1) are reflexive .*-modules. For α = 0,…, ., .(α).= Hom(.(α).., .), and up to a shift in grading .(α) = Hom.(.(α),.). We define the .-th graded piece .(α). ⊂ .. of .(α) by

名字

Syzygies and Homological Conjectures,.. For every resolution F:.of k and for every system of parameters x.,…, x. of A, if φ is any map from the Koszul complex K.(.; A) (. stands for x.,…, x.)to F which lifts the natural surjection . is non-zero.

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Spina-Bifida

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Remarks on Points in a Projective Space, a part of their conjecture follows from a conjecture of ours (with Mike Stillman) on linear syzygies [.], and we explain this connection and the consequences of the known cases of the linear syzygy conjecture; in particular the conjecture holds for . ≤ 4. We also extend the result of Green-Lazarsfeld to deal with some larger sets of points.

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Exceptional Prime Divisors of Two-dimensional Local Domains,sent article is to study containment relations among these spots and conditions under which they can appear on the normalized blow-up of a specific ideal .; in particular, we study conditions under which . can be chosen to be .-primary.

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