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University of Illinois at Urbana-Champaign

On lower bounds for the betti numbers of finite length modules

Abstract

dc:description

In this manuscript we consider multigraded modules. Chapter 1 gives the necessary definitions and examples that develop the theory of multigraded modules. A multigraded module has a multigraded minimal resolution. We give the necessary conditions for a matrix to correspond to a multigraded map and show that all associated primes of a multigraded module are multigraded.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Charalambous, Hara
Contributors dc:contributor
  • Griffith, Phillip A.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • Copyright 1990 Charalambous, Hara
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(UMI)AAI9026154
AAI9026154
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/19766

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Charalambous, Hara. On lower bounds for the betti numbers of finite length modules. Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/19766