| Type of Document |
Dissertation |
| Author |
Cone, Randall Edward
|
| Author's Email Address |
rcone@vt.edu |
| URN |
etd-12012010-104308 |
| Title |
Finite Generation of Ext-Algebras for Monomial Algebras |
| Degree |
PhD |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Green, Edward L. |
Committee Chair |
| Brown, Ezra A. |
Committee Member |
| Day, Martin V. |
Committee Member |
| Linnell, Peter A. |
Committee Member |
| Loehr, Nicholas A. |
Committee Member |
|
| Keywords |
- finite generation
- cohomology
- monomial algebras
|
| Date of Defense |
2010-11-30 |
| Availability |
unrestricted |
Abstract
The use of graphs in algebraic studies is ubiquitous, whether the graphs be finite or infinite, directed or undirected. Green and Zacharia have characterized finite generation of the cohomology rings of monomial algebras, and thereafter G. Davis determined a finite criteria for such generation in the case of cycle algebras. Herein, we describe the construction of a finite directed graph upon which criteria can be established to determine finite generation of the cohomology ring of in-spoked cycle" algebras, a class of algebras that includes cycle algebras. We then show the further usefulness of this constructed graph by studying other monomial algebras, including d-Koszul monomial algebras and a new class of monomial algebras which we term "left/right-symmetric" algebras.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
Cone_RE_D_2010.pdf |
578.55 Kb |
00:02:40 |
00:01:22 |
00:01:12 |
00:00:36 |
00:00:03 |
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