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Back to Commutative Algebra Seminar: Fall 2015

Commutative Algebra Seminar


Date: Friday, Oct 2, 2015

Time: 3:10PM - 4:00PM

Location: LCB 222


Sylvia Wiegand

University of Nebraska-Lincoln

Title

Building examples using power series over Noetherian rings

Abstract

In ongoing work with Willian Heinzer and Christel Rotthaus over the past twenty years we have been applying a construction for obtaining sometimes baffling, sometimes badly behaved, sometimes Noetherian, sometimes non-Noetherian, integral domains. This technique of interseting fields with power series goes back to Akizuki-Schmidt in the 1930s and Nagata in the 1950s, and since then has also been employed by Nishimuri, Heitmann, Ogoma, the authors and others. We are writing a book about our procedures and examples. We present some of the theory and techniques we use, and mention some examples.

Commutative Algebra

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