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Presented By: Student Commutative Algebra Seminar - Department of Mathematics

Student CA Seminar: Quasilength, Content, and Q-sequences

Olivia Strahan

In this talk, I will introduce the content of a ring with respect to a sequence of elements, a real number invariant first defined by Mel Hochster and Craig Huneke. A Q-sequence is a sequence of elements for which the content of the ring is equal to 1; after introducing definitions and looking at some basic examples and properties, we will focus on the conjecture that every system of parameters is a Q-sequence. This talk is a preview of the talk that will be given in the Commutative Algebra seminar on 9/25.

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