Classical algebraic structures and their applications 1000-1D96AL
Several basic algebraic structures are studied. In particular: groups and semigroups, rings and algebras,
modules, matrices and linear representations. Classical results and open problems are discussed and a variety of applications is presented.
Type of course
Course coordinators
Learning outcomes
1. Knows the selected aspects of classical algebraic structures,
which are discussed at the seminar, their relationships, as well as the place the referred issues in the broader theory and reference to selected open problems.
2. Is able to clearly present the appropriate parts of the theory of
some algebraic structures and discuss them in a creatively
transformed way. He can produce sub-questions and hypotheses,
seek their solutions and fill in the gaps in the available
studies of selected issues.
3.. Knows his own limitations on existing knowledge of selected
issues discussed at the seminar, and the need of futher developments.
4. Can independently search for literature on the issues that
are discussed at the seminar and present synthetically a selected material.
Can independently search for literature on the issues that are discussed at the seminar, also in English, and present synthetically a selected material.
5. Knows examples of applications of algebraic structures and their properties in other areas of mathematics, including solving important problems formulated in a language of school mathematics
.
6. Can interact with other participants of the seminar, lead
joint discussions on issues they are working on, can share his own thoughts on discussed problems.
Assessment criteria
Grade based on presented talks and other activities on a seminar
Bibliography
References will be given at the first meeting.
Additional information
Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: