Algebra Seminar

12/01/2021 - 2:00pm to 3:00pm
POT 745
Speaker(s) / Presenter(s): 
Michael Morrow, University of Kentucky
Type of Event (for grouping events):
Title: Finite Computation of Gröbner Bases for OI-Modules
Abstract: Computing finite Gröbner bases for submodules of free modules over polynomial rings is a classical problem in commutative algebra that is solved via Buchberger's Algorithm. In this talk, we generalize these ideas to the setting of free OI-modules over a Noetherian polynomial OI-algebra. In particular, we develop an OI-Buchberger's Criterion and Algorithm whose finiteness depends on a combinatorial result about factoring OI-maps.
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