M036 Rings and modules

Faculty of Informatics
Autumn 2001
Extent and Intensity
2/0. 2 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
prof. RNDr. Jiří Rosický, DrSc. (lecturer)
Guaranteed by
doc. RNDr. Jiří Kaďourek, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Jiří Rosický, DrSc.
Prerequisites (in Czech)
M004 Linear Algebra and Geometry II && M009 Algebra II
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
Syllabus
  • Rings and modules: submodules, sums and products, direct and inverse limits.
  • Free and projective modules: semisimple rings, vector spaces. Tensor product.
  • Flat modules: Lazard's characterization.
  • Short exact sequances: the group Ext.
  • Injective modules: injective hulls.
Literature
  • L. Rowen, Ring theory I, Academic Press 1988.
  • A. J. Berrick and M. E. Keating, An introduction to rings and modules, Cambridge Univ. Press 2000.
Language of instruction
Czech
Further Comments
The course is taught every week.
The course is also listed under the following terms Spring 1999.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2001/M036