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