
Powers of the Phantom Ideal
Department of Mathematics, Wilfrid Laurier University
Speaker
Professor Xianhui Fu, Northeast Normal University, China
Title
Powers of the Phantom Ideal
Abstract
The mono-epi (ME) exact structure on the morphisms of an exact category (A; E) is introduced and used to prove ideal versions of Salce’s Lemma, Christensen’s (Ghost) Lemma, and Wakamatsu’s Lemma for an exact category.
As an application, it is proved that if G is a finite group and Φ is the ideal of phantom morphisms in the category k[G]-Mod, then Φ^{n−1} is the object ideal generated by projective modules, where n is the nilpotency index of the Jacobson radical J.
Date
Wednesday, Jan. 10, 2018
Time
4 p.m. - 4:50 p.m.
Location
LH3058 (Lazaridis Hall, Room 3058)