On Polynomial Functions on a Variety
| dc.contributor.advisor | Abebaw Tilahun (PhD) | |
| dc.contributor.author | Abebe Legesse | |
| dc.date.accessioned | 2018-07-17T05:55:57Z | |
| dc.date.accessioned | 2023-11-04T12:30:38Z | |
| dc.date.available | 2018-07-17T05:55:57Z | |
| dc.date.available | 2023-11-04T12:30:38Z | |
| dc.date.issued | 2011-01 | |
| dc.description.abstract | Let be a field and given a polynomials inK(x1,x2,...Xn)2 K(X1X2......NK)], we can define an affine varieties in and ideals in a polynomials ring1 ,2 ,. . .]. This project considers the polynomial functions on a variety. The algebraic properties of polynomial functions on a variety yield many insights in to the geometric properties of the variety. The collection of polynomial functions from the variety to the field (or the coordinate ring ]) has the sum and product operations constructed using the sum and product operations in . The construction of the coordinate ring ] is a special case of the quotient ring In particular, we relate the quotient ring 2 ,…,)⁄ to the ring] of polynomial functions on . And the relation between two isomorphic varieties and two coordinate rings of an affine varieties are considered | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/8825 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | On Polynomial Functions on a Variety | en_US |
| dc.title | On Polynomial Functions on a Variety | en_US |
| dc.type | Thesis | en_US |