# Course Details

### Basic information

##### Credits:

*Bachelor Degree in Mathematics:* 12 Ects (a)

##### Term:

*Module Algebra mod. I:* 2° semester

*Module Algebra mod. II:* 2° semester

##### Degree(s):

Compulsory 1^{st} year Bachelor Degree in Mathematics curriculum Generale

##### Language:

Italian

### Learning Outcomes (Dublin Descriptors)

On successful completion of this course, the student should

- The student should understand the functioning of algebraic structures underlying mathematics
with particular attention to the meaning of partition, equivalence, going quotient, group,
ring, homomorphism.
- The student must be able to know how to do algebraic proofs, deducing properties of
number systems starting from the properties of the operations in the systems allowed.
- The student should be able to choose the best way of making a proof.
- The student should be able to explain the meaning of algebraic structures.
- The student should be able to go deeper in the knowledge in the direction of field theory, valois theory,
commutative ring theory and representation theory.

### Prerequisites and Learning Activities

Basic set theory.

### Teaching Methods

**Language**: Italian

Lectures and exercises sessions.

### Assessment Methods and Criteria

A written and a oral test.

### Textbooks

- M. Artin,
**Algebra**. Boringhieri. * *
- Benedetto Scimemi,
**Algebretta**. Decibel. * *
- Claudio Procesi,
**Elementi di Teoria degli anelli**. Decibel. * *

### Course page updates

This course page is available (with possible updates) also for the following academic years:

*Course information last updated on: 15 settembre 2015, 17:29*