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Virginia Tech

Growth of algebras, words, and graphs

Abstract

dc:description.abstract

Finitely generated monomial algebras are studied. the bound in Bergman's description of algebras with GK-dimension 1 is improved and similar techniques are used to establish the equivalence of the periodicities of overlap graphs and Hilbert series coefficients.

Degree

thesis:*
Name thesis:degree_name
Ph. D.
Level thesis:degree_level
doctoral
Discipline thesis:degree_discipline
Mathematics
Department dc:contributor.department
Mathematics
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1993

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Ellingsen, Harold W.
Chair dc:contributor.committeechair
  • Farkas, Daniel R.
Committee members dc:contributor.committeemember
  • Green, Edward L.
  • Olin, Robert F.
  • Aull, Charles E.
  • Floyd, William J.

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en

Identifiers

dc:identifier.*
Dc Identifier Other
etd-10242005-124052
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/40100

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Ellingsen, Harold W.. Growth of algebras, words, and graphs. doctoral thesis, Virginia Tech, 1993. http://hdl.handle.net/10919/40100