Fri, August 8, 2014
4:30 pm - 5:30 pm
MW 154
Title: Modules invariant under automorphisms of their covers and envelopes.
Speaker: Ashish Srivastava, University of Saint Louis, St. Louis
Seminar Type: Ring Theory
Abstract: In this talk we will discuss the general theory of modules which are invariant under automorphisms of their envelopes and covers. Then we will apply these results to specific cases like injective envelopes, pure-injective envelopes, cotorsion envelopes, projective covers, or flat covers, and show how these results extend and provide a much more succinct and clear proofs for various results existing in the literature. We will also discuss how our results follow from some key observations on the additive unit structure of von Neumann regular rings.