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  6. MX5002: Algebra 1

MX5002: ALGEBRA 1 (2014-2015)

Last modified: 28 Jun 2018 10:27


Course Overview

This course is dispensed by the Scottish Mathematical Sciences Training Centre, with different teachers taking turns broadcasting their lectures from and to universities around Scotland.

 

This course revises and extend standard undergraduate algebra in various directions.

 

The first part is on group theory, and includes topics on group actions, simple groups, soluble groups, Sylow’s Theorems, and computational aspects.

The second part is on rings and modules, presenting basic definitions and examples (in particular the ring of algebraic integers), chain conditions (Artinianity and Noetherianity), Hilbert’s Basis Theorem and Nullstellensatz.





Course Details

Study Type Postgraduate Level 5
Session First Sub Session Credit Points 20 credits (10 ECTS credits)
Campus None. Sustained Study No
Co-ordinators
  • Dr Jean-Baptiste Gramain

What courses & programmes must have been taken before this course?

None.

What other courses must be taken with this course?

None.

What courses cannot be taken with this course?

None.

Are there a limited number of places available?

No

Course Description

Basic concepts in group theory, including definitions and examples; construction of groups; generators and relations; simple groups; the Jordan-Holder theorem; soluble groups; group actions; conjugation; Sylow theorems and applications. The definitions and basic properties of rings and modules; chain conditions; Hilbert Basis theorem; PIDs, Euclidean domains and UFDs; some elementary background on algebraic numbers and algebraic integers.

Contact Teaching Time

Information on contact teaching time is available from the course guide.

Teaching Breakdown

More Information about Week Numbers


Details, including assessments, may be subject to change until 31 August 2023 for 1st half-session courses and 22 December 2023 for 2nd half-session courses.

Summative Assessments

One 3-hour written examination (80%); one in-course assessment (20%).

Formative Assessment

There are no assessments for this course.

Feedback

None.

Course Learning Outcomes

None.
 

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