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Subjects
13-XX Commutative algebra
13Cxx Theory of modules and ideals
13C15 Dimension theory, depth, related rings (catenary, etc.)

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Displaying 1 – 8 of 8

Tensor products of modules, rigidity and local cohomology.

Craig Huneke, Roger Wiegand (1998)

Mathematica Scandinavica

The Bass-Murthy question: Serre dimension of Laurent polynomial extensions.

S.M. Bhatwadekar, H. Lindel, R.A. Rao (1985)

Inventiones mathematicae

The dimension of certain catalecticant varieties.

Aldo Conca, Giuseppe Valla (2004)

Collectanea Mathematica

The Euler Characteristic of a Finitely Generated Module of Finite Injective Dimension.

Rodney Y. Sharp (1973)

Mathematische Zeitschrift

The first term in a minimal pure injective resolution.

Edgar E. Enochs (1989)

Mathematica Scandinavica

The Heigth of Ideals and Regular Sequences.

Craig Huneke, Vijaylaxmi Trivedi (1997)

Manuscripta mathematica

The $\circ$ operation and $*$ operation of Cohen-Macaulay bipartite graphs

Yulong Yang, Guangjun Zhu, Yijun Cui, Shiya Duan (2024)

Czechoslovak Mathematical Journal

Let $G$ be a finite simple graph with the vertex set $V$ and let $I_{G}$ be its edge ideal in the polynomial ring $S = 𝕂 [V]$ . We compute the depth and the Castelnuovo-Mumford regularity of $S / I_{G}$ when $G = G_{1} \circ G_{2}$ or $G = G_{1} * G_{2}$ is a graph obtained from Cohen-Macaulay bipartite graphs $G_{1}$ , $G_{2}$ by the $\circ$ operation or $*$ operation, respectively.

Two applications of dualizing complexes over local rings

Paul Roberts (1976)

Annales scientifiques de l'École Normale Supérieure

Currently displaying 1 – 8 of 8

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