A Characterization of Serre Classes of Reflexive Modules Over a Complete Local Noetherian Ring

A Characterization of Serre Classes of Reflexive Modules Over a Complete Local Noetherian Ring

Serre classes of modules over a ring R are important because they describe relationships between certain classes of modules and sets of ideals of R. We characterize the Serre classes of three different types of modules. First we characterize all Serre classes of noetherian modules over a commutative...

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Bibliographic Details
Main Author: Monday, Casey R
Format: Others
Published: UKnowledge 2014
Subjects:
Serre class
reflexive module
Matlis duality
complete local ring
local nilpotence
Algebra
Online Access:http://uknowledge.uky.edu/math_etds/13
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1013&context=math_etds

Internet

http://uknowledge.uky.edu/math_etds/13
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1013&context=math_etds

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