Seminar Event Detail


Student Commutative Algebra

Date:  Tuesday, September 21, 2021
Location:  2866 EH (3:00 PM to 4:00 PM)

Title:  What Makes a Complex Exact?

Abstract:   The Buchsbaum-Eisenbud exactness theorem establishes a useful criterion for the exactness of a sequence of free modules over a Noetherian ring. In this talk, I will first demonstrate a criterion of McCoy on injectivity of maps between free modules. I will then deduce the Buchsbaum-Eisenbud exactness theorem as a natural extension of this result of McCoy. Time abiding, I will explain some uses and extensions of the theorem. I will assume some familiarity with localizations and linear algebraic tools.

Files:


Speaker:  Calvin Yost-Wolff
Institution:  UM

Event Organizer:     

 

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