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Root number
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11396 |
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Semester
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FS2025 |
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Type of course
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Lecture |
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Allocation to subject
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Mathematics |
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Type of exam
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not defined |
| Title |
Universal Algebra |
| Description |
*Course Structure*
This course will not follow the traditional lecture format. Each week a reading assignment and exercise series will be posted on ILIAS for students to complete independently at home. The course material will then be discussed in small groups during the scheduled teaching hours. Students will be expected to actively participate in these group sessions (e.g., explaining definitions or proofs, considering new problems) and may be asked later in the semester to give a short presentation. In the first week of the semester, a recorded lecture and homework assignment will be made available on the ILIAS course webpage, and students will be asked to sign up via Doodle Poll to determine the number of groups and times of the meetings.
*Course Description*
Universal algebra treats properties common to different classes of algebraic structures, such as groups, rings, lattices, and Boolean algebras. Its theorems and methods play an important role in logic, algebra, and computer science, particularly when some degree of generality is desirable. This course will introduce the core topics of the field, beginning with the study of lattices and closure operators, then developing results that apply to all classes of algebras such as homomorphism and isomorphism theorems, and key notions such as the congruence lattice of an algebra, class operators and varieties, and free algebras. The course will also cover more advanced topics such as Mal'cev conditions, equational logic, and decidability. |
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ILIAS-Link (Learning resource for course)
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Registrations are transmitted from CTS to ILIAS (no admission in ILIAS possible).
ILIAS
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Link to another web site
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| Lecturers |
Prof. Dr.
George Metcalfe, Institute of Mathematics ✉
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ECTS
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6 |
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Recognition as optional course possible
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No |
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Grading
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1 to 6 |
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| Dates |
Monday 14:15-16:00 Weekly
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Wednesday 14:15-16:00 Weekly
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Rooms
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| Students please consult the detailed view for complete information on dates, rooms and planned podcasts. |
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