Abstract
dc:description.abstract[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The notion of epsilon multiplicity was originally defined by Ulrich and Validashti as a limsup and they used it to detect integral dependence of modules. It is important to know if it can be realized as a limit. The purpose of our thesis is to show that the relative epsilon multiplicity of reduced standard graded algebras over an excellent local ring exists as a limit. We also obtain some important special cases of Cutkosky's results concerning epsilon multiplicity, as corollaries of our main theorem.
Degree
thesis:*- Name thesis:degree_name
- Ph. D.
- Level thesis:degree_level
- Doctoral
- Discipline thesis:degree_discipline
- Mathematics (MU)
- Grantor dc:publisher
- University of Missouri--Columbia
- Year dc:date.issued
- 2020
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Das, Suprajo
- Advisor dc:contributor.advisor
-
- Cutkosky, Dale
Rights
dc:rights- Statement dc:rights
-
- Access to files is limited to the campuses of the University of Missouri with SSO login.
- Language dc:language.iso
- eng, English
Identifiers
dc:identifier.*- OAI identifier oai:identifier
- oai:mospace.umsystem.edu:10355/78130