Algebra proseminar - NMAG261
Title: Proseminář z algebry
Guaranteed by: Department of Algebra (32-KA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023
Semester: summer
E-Credits: 2
Hours per week, examination: summer s.:0/2, C [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Additional information:
Guarantor: doc. RNDr. David Stanovský, Ph.D.
Class: M Bc. OM
M Bc. OM > Zaměření MSTR
M Bc. OM > Doporučené volitelné
M Bc. OM > 2. ročník
Classification: Mathematics > Algebra
Incompatibility : NALG032
Interchangeability : NALG032
Opinion survey results   Examination dates   SS schedule   Noticeboard   
Annotation -
Last update: G_M (15.05.2012)
This seminar expands on the material of introductory algebra courses. It includes topics from number theory, algebraic geometry, and computer algebra.
Course completion requirements - Czech
Last update: doc. RNDr. David Stanovský, Ph.D. (31.01.2024)

Bude specifikováno na webu kurzu první týden semestru.

Literature -
Last update: doc. RNDr. David Stanovský, Ph.D. (31.01.2024)

D. Stanovský, Základy algebry, Matfyzpress.

J. Rotman, A First Course in Abstract Algebra

L. Rowen, Algebra: Groups, Rings, and Fields

various materials to the special topiucs (wikipedia often serves well)

Syllabus -
Last update: doc. RNDr. David Stanovský, Ph.D. (29.10.2019)
  • applications of groups and finite fields in computer science (codes, designs, cryptography)
  • introductory lectures to more advanced disciplines (algebraic geometry, algebraic topology)
  • more on the structure of finite groups, ring theory, Galois theory, ...
  • other topics according to the interest of participants

Entry requirements - Czech
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (17.02.2022)

Proseminář je navázán na přednášku NMAG206 Algebra, jejíž obsah rozšiřuje a doplňuje. Předpokládá se, že student má kurz NMAG206 paralelně zapsaný (pokud ho neabsolvoval dříve).