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Physical Sciences → Mathematics → Algebra and Number Theory

Commutative Algebra and Its Applications

This cluster of papers focuses on the algebraic properties of monomial ideals, including their graded Betti numbers, local cohomology modules, symbolic powers, edge ideals, Cohen-Macaulay modules, Stanley depth, toric algebra, regularity bounds, and their connections to combinatorial topology.

26.6K works worldwide212K citations
Monomial IdealsGraded Betti NumbersLocal Cohomology ModulesSymbolic PowersEdge IdealsCohen-Macaulay ModulesStanley DepthToric AlgebraRegularity BoundsCombinatorial Topology

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