MU25015 Chapters in Algebra

Mathematical Institute in Opava
Summer 2026
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Artur Sergyeyev, Ph.D., DSc. (lecturer)
RNDr. Petr Blaschke, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Artur Sergyeyev, Ph.D., DSc.
Mathematical Institute in Opava
Timetable
Mon 15:35–17:10 R2
  • Timetable of Seminar Groups:
MU25015/01: Mon 9:45–11:20 LVT2, P. Blaschke
Prerequisites (in Czech)
TYP_STUDIA(N)
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Chapters in algebra cover advanced algebraic topics, appropriate for all students of mathematics at the master level study programme.
Syllabus
1. Algebraic varieties (radical and prime ideals, irreducible varieties etc.).
2. Groups, algebras and their representations.

3. Rings and fields (integral domains, divisibility etc.)

Literature
    recommended literature
  • A.J. Baker, An Introduction to Groups and Rings, https://www.ams.org/open-math-notes/omn-view-listing?listingId=111330
  • D.A. Cox, J. Little, and D. O'Shea. Ideals, Varieties, and Algorithms. 2015. ISBN 978-3-319-16721-3. info
  • K.E. Smith et al., An invitation to algebraic geometry, Springer-Verlag, New York, 2000.
  • M. Artin, Algebra, 2nd ed., Pearson, 2010
  • S. Lang. Algebraic structures. Reading, 1967. info
  • G.D. Mostow, J.H. Sampson, J.-P. Meyer. Fundamental structures of algebra. New York, 1963. info
  • J. Blažek, M. Koman, B. Vojtášková. Algebra a teoretická aritmetika. II. díl. Praha, 1985. info
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
Teacher's information
The course comprises lectures and tutorials. To pass the course, the first step is to earn credit for tutorials. The final exam tests theoretical knowledge and understanding of the subject.
The course is also listed under the following terms Summer 2022, Summer 2023, Summer 2024, Summer 2025.
  • Enrolment Statistics (recent)
  • Permalink: https://is.slu.cz/course/sumu/summer2026/MU25015