MU:MU25005 Basic Commutative Algebra - Course Information
MU25005 Basic Commutative Algebra
Mathematical Institute in OpavaWinter 2018
- Extent and Intensity
- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Michal Marvan, CSc. (lecturer)
RNDr. Petr Blaschke, Ph.D. (seminar tutor) - Guaranteed by
- doc. RNDr. Michal Marvan, CSc.
Mathematical Institute in Opava - 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
- Geometry and Global Analysis (programme MU, N1101)
- Syllabus
- - Rings, subrings, ideals, quotient rings.
- Basics of divisibility theory, integral domains, Euclidean rings, principal ideal rings, Gaussian rings, division rings, resultant and discriminant.
- Basics of homological algebras, modules, exact sequences, direct sums, tensor products, free, projective and injective modules, complexes, homology, resolvents, Ext functors.
- Fields, number fields, algebraic and transcendental extensions, algebraic numbers, basics of classical Galois theory.
- - Rings, subrings, ideals, quotient rings.
- Literature
- Language of instruction
- Czech
- Further Comments
- The course can also be completed outside the examination period.
- Enrolment Statistics (Winter 2018, recent)
- Permalink: https://is.slu.cz/course/sumu/winter2018/MU25005