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OSU-OU Ring Theory Seminar - Ashish Srivastava

Ashish Srivastava, University of Saint Louis, St. Louis
August 8, 2014
4:30PM - 5:30PM
MW 154

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Add to Calendar 2014-08-08 16:30:00 2014-08-08 17:30:00 OSU-OU Ring Theory Seminar - Ashish Srivastava Title: Modules invariant under automorphisms of their covers and envelopes.Speaker: Ashish Srivastava, University of Saint Louis, St. LouisSeminar Type:  Ring TheoryAbstract: 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.  MW 154 Department of Mathematics math@osu.edu America/New_York public

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.
 

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