Trace ideals and the centers of endomorphism rings of modules over commutative rings

Update Item Information
Title Trace ideals and the centers of endomorphism rings of modules over commutative rings
Publication Type dissertation
School or College College of Science
Department Mathematics
Author Lindo, Haydee M. a.
Date 2016
Description Let $R$ be a commutative Noetherian ring and $M$ a finitely generated $R$-module. We establish cases in which the centers of $\End R M$ and $\End R {M^*}$ coincide with the endomorphism ring of the trace ideal of $M$. These observations are exploited to prove results for balanced and rigid modules, as well as modules with $R$-free endomorphism rings. As a consequence, we clarify the relationship between the properties of $M$ and those of its endomorphism rin
Type Text
Publisher University of Utah
Subject endomorphism ring; trace ideal
Dissertation Name Doctor of Philosophy
Language eng
Rights Management ©Haydee M. a. Lindo
Format application/pdf
Format Medium application/pdf
ARK ark:/87278/s6p88htg
Setname ir_etd
ID 1353177
Reference URL https://collections.lib.utah.edu/ark:/87278/s6p88htg
Back to Search Results