Groups, Rings and Fields

Postgraduate | 2026

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Mode icon
Mode
Mode
Your studies will be on-campus, and may include some online delivery
On campus
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Area/Catalogue
MATH 5004
Course ID icon
Course ID
201638
Campus icon
Campus
Adelaide City Campus
Level of study
Level of study
Postgraduate
Unit value icon
Unit value
6
Course owner
Course owner
Adelaide University
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Course level
1
Work Integrated Learning course
Work Integrated Learning course
No
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Inbound study abroad and exchange
Inbound study abroad and exchange
The fee you pay will depend on the number and type of courses you study.
No
University-wide elective icon
University-wide elective course
No
Single course enrollment
Single course enrolment
No

Course overview

The algebraic notions of groups, rings and fields are inherently interesting, while their practical applications extend across numerous areas. This course will provide students with a comprehensive understanding of the fundamental structures and concepts in abstract algebra. The course begins with definitions and examples of groups, rings and fields. It then advances to examining and proving key theorems, culminating in establishing the connection between solving polynomials and the procedure of field extensions. 

Prerequisite(s)

N/A

Corequisite(s)

N/A

Antirequisite(s)

N/A

Assumed knowledge

N/A

Textbook(s)

N/A

Inherent requirements

N/A

Other resources

N/A

Assessment

N/A

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Study Abroad student tuition fees are available here.

Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information.

The Student Contribution amount displayed below is for students commencing a new program from 2021 onwards. If you are continuing in a program you commenced prior to 1 January 2021, or are commencing an Honours degree relating to an undergraduate degree you commenced prior to 1 January 2021, you may be charged a different Student Contribution amount from the amount displayed below. Please check the Student Contribution bands for continuing students here. If you are an international student, or a domestic student studying in a full fee paying place, and are continuing study that you commenced in 2025 or earlier, your fees will be available here before enrolments open for 2026.