| Educational guide School of Engineering |
english |
| Degree in Mathematical and Physical Engineering (2021) |
 Subjects |
| ALGEBRAIC STRUCTURES |
| Contents |
| IDENTIFYING DATA | 2023_24 |
| Subject | ALGEBRAIC STRUCTURES | Code | 17274118 | |||||
| Study programme |
|
Cycle | 1st | |||||
| Descriptors | Credits | Type | Year | Period | ||||
| 6 | Compulsory | Third | 2Q |
|||||
| Competences | Learning outcomes | Contents |
| Planning | Methodologies | Personalized attention |
| Assessment | Sources of information | Recommendations |
| Topic | Sub-topic |
| Groups | Normal subgroups. Symmetric group. Isomorphism theorem. Jordan-Hölder theorem. Sylow theorem. Group actions. |
| Rings | Subrings, ideals, divisibility. Factorial rings. Euclidian rings. Polynomials over rings and fields. Symmetric polynomials. Fundamental theorem of symmetric polynomials. Discriminant and resultant. |
| Fields | Construction of extension fields. Algebraic and transcendent extensions. Primitive element theorem. Splitting fields. Algebraic closure. Normal extensions and separability. |
