| dc.contributor.author |
Aniqa Ahmad, CIIT/FA13-RMT-002/LHR |
|
| dc.date.accessioned |
2016-01-27T08:10:33Z |
|
| dc.date.accessioned |
2019-11-05T07:23:30Z |
|
| dc.date.available |
2016-01-27T08:10:33Z |
|
| dc.date.available |
2019-11-05T07:23:30Z |
|
| dc.date.issued |
2015-06 |
|
| dc.identifier.uri |
http://dspace.cuilahore.edu.pk/xmlui/handle/123456789/40 |
|
| dc.description |
Supervisor : Dr. Imran Anwar Assistant Professor Department of Mathematics |
en_US |
| dc.description.abstract |
The aim of this thesis is to explore the algebraic properties of square-free monomial
ideals with quasi-linear quotients. The concept of quasi-linear quotients has been
introduced in [1]. We discuss the graded-free resolutions of square-free monomial
ideals in R = k[x1, . . . , xn], with quasi-linear quotients. We show that a square-free
monomial ideal with quasi-linear quotients accept the quasi-linear free resolution.
Also, we discuss their betti numbers and give bounds on their projective dimension
and depth. We show that if I admits a quasi-linear quotients then so does I<t>. |
en_US |
| dc.language.iso |
en |
en_US |
| dc.publisher |
COMSATS Institute of Information Technology Lahore-Pakistan |
en_US |
| dc.subject |
Mathematics |
en_US |
| dc.title |
Monomial ideals with Quasi-linear quotients |
en_US |