Math Student Colloquium: Livia Xu, Mathematics Senior

Dimension of a Noetherian Ring

The correspondence between zero sets of polynomials in an affine space and radical ideals of a polynomial ring over a field gives rise to the study of geometry using algebraic tools. In particular, through the Zariski topology, we can transfer our geometric intuition of dimension into an algebraic description. In this talk, we will build such correspondence, define the Krull dimension of a ring, and observe some key properties of dimension of a Noetherian ring.

Monday, November 25, 2019 at 4:40pm to 5:30pm

Biology, 19
3203 Southeast Woodstock Boulevard, Portland, Oregon 97202-8199

Event Type

Lecture, Student

Audience

Faculty, Students

Department
Mathematics, Division of Mathematical and Natural Sciences
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