Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-12-11-K-2

Algebraic Structures (2V+2U, 5.5 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes and tutorials (V/U/T) 5.5 CP 109 h
2 V Lecture 28 h
2 U Exercise class/tutorial (in small groups) 28 h
(2V+2U) 5.5 CP 56 h 109 h


CP, Effort 5.5 CP = 165 h
Position of the semester 1 Sem. in WiSe/SuSe
Level [2] Bachelor (Fundamentals)
Language [DE] German
Area of study [MAT-GRU] Mathematics (B.Sc. year 1 and 2)
Livecycle-State [NORM] Active


The course is also offered as distance learning course as part of the early entrance programme FiMS, see

Possible Study achievement (Übungsschein Algebraic Structures)

  • Verification of study performance: proof of successful participation in the exercise classes (incl. written examination)
  • Examination number (Study achievement): 82025 ("Exercise Class Algebraic Structures")
  • Details of the examination (type, duration, criteria) will be announced at the beginning of the course.
    Qualified certificate of successful participation in the exercise classes through active participation, successful completion of homework and passing the final exam for the exercise classes.


  • fundamental algebraic structures: groups, rings, fields (in particular: symmetric group),
  • substructures and factor structures (in particular: normal subgroups, isomorphism theorems),
  • principal ideal domains: ℤ, polynomial ring K[t] (in particular: Euclidean algorithm).


  • G. Fischer: Lineare Algebra,
  • H.-J. Reiffen, G. Scheja, U. Vetter: Algebra,
  • H.-D. Ebbinghaus, et al.: Zahlen,
  • S. Lang: Algebraische Strukturen.


Further literature will be announced in the lecture(s); exercise material is provided.


Registration for the exercise classes via the online administration system URM (

Requirements for attendance (informal)


Requirements for attendance (formal)


References to Course [MAT-12-11-K-2]

Module Name Context
[MAT-12-10A-M-2] Pure Mathematics A P: Obligatory in Obligatory-Modulteil #A (Algebraic Structures) 2V+2U, 5.5 LP
[MAT-12-10L-M-2] Fundamentals of Mathematics C: Geometry, Elementary Algebra and Number Theory P: Obligatory in Obligatory-Modulteil #A (Algebraic Structures) 2V+2U, 5.5 LP