Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-49-11-K-6

Categories (2V, 3.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
2 V Lecture 3.0 CP 28 h 62 h
(2V) 3.0 CP 28 h 62 h

Basedata

SWS 2V
CP, Effort 3.0 CP = 90 h
Position of the semester 1 Sem. irreg.
Level [6] Master (General)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-AGCA] Algebra, Geometry and Computer Algebra
Additional informations
Livecycle-State [NORM] Active

Contents

  • Categories, functors, natural transformations,
  • duality, Yoneda lemma,
  • universal constructions, products, limits,
  • adjoint functors,
  • Abelian categories, kernels, co-kernels, exact sequences.

Literature

  • S. Mac Lane: Categories for the Working Mathematician,
  • H. Schubert: Kategorien I & II.

Materials

Further literature will be announced in the lecture.

Requirements for attendance (informal)

Modules:

Courses

Requirements for attendance (formal)

None

References to Course [MAT-49-11-K-6]

Module Name Context
[MAT-49-11-M-6] Categories P: Obligatory 2V, 3.0 LP
Course-Pool Name
[MAT-40-2V-KPOOL-4] Elective Courses Algebra, Geometry and Computeralgebra (2V, B.Sc.)