Algebra DSBA 2025/2026
Teachers and assistants
| Группа | 251 | 252 | 253 | 254 | 255 | 256 | 257 |
|---|---|---|---|---|---|---|---|
| Lecturer | Dima Trushin Telegram | ||||||
| Teacher | Dima Trushin | Andrew Mazhuga | Andey Zhizhin | Dmitry Gayfulin | Subin Pulari | Dmitry Gayfulin | Ananya Pal |
| Assistant | Viktoriya Sliva | Illarion Illarionov-Zervas | Maria Sudarikova | Vadim Andrianov | Zakhar Zinkin | Zlata Vronskaya | Ignat Kostyuchenko |
Consultations schedule
| Teacher/Assistant | How to contact | When | |
|---|---|---|---|
| Dima Trushin | telegram | Wednesday since 17:00 S812 | |
| Andrew Mazhuga | |||
| Andey Zhizhin | |||
| Dmitry Gayfulin | |||
| Subin Pulari | |||
| Ananya Pal |
Grading system
The final grade is computed as follows
F = 0,3 * H + 0,3 T + 0,4 E
where H is the grade for the home assignments, T is the written test grade, and E is the final exam grade.
Only the final grade is rounded in the final formula according to the standard rule.
Lecture abstracts
Lecture 1 (06.04.2026). Binary operations. Associativity, neutral element, inverse element, commutativity. Definition of a group. Additive and multiplicative notations. Subgroups and cyclic subgroups. The order of an element of a group.
Lecture 2 (13.04.2026). Classification of cyclic groups. The subgroups of the group of integers. The subgroups of the group Z_n. Left and right cosets, examples. Normal subgroups. The Lagrange theorem and its corollaries.
Lecture 3 (20.04.2026). Homomorphisms and Isomorphisms of groups. Image and kernel of a homomorphism. Normal subgroups. Direct product of groups. Finite Abelian Groups. The Chinese Remainder Theorem. Structure of a finite abelian group.
Problem sheets
The solutions should be sent to your teaching assistant before the beginning of the next seminar. If you send the solution after the deadline your grade will be multiplied by 0.7t where t -- is the time passed after the deadline in days (not rounded). So, it is not an issue to send your work 1 or 2 hours after the deadline.
Seminar 1 Problems
Seminar 2 Problems
Seminar 3 Problems
Seminar 4 Problems
Seminar 5 Problems
Seminar 6 Problems
Seminar 7 Problems
Seminar 8 Problems
Test
Exam
Results
- Homework
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- Test
| [ 251] | [ 252] | [ 253] | [ 254] | [ 255] | [ 256] | [ 257] |
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- Summary Statement
| [ 251] | [ 252] | [ 253] | [ 254] | [ 255] | [ 256] | [ 257] |
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Links
- Telegram group of the course.