PřF:M7210 Rings and modules - Course Information

M7210 Rings and modules

Extent and Intensity

2/0/0. 4 credit(s). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Jiří Rosický, DrSc. (lecturer)

Guaranteed by

prof. RNDr. Jiří Rosický, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Jiří Rosický, DrSc.

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

• Algebra (programme PřF, D-MA)
• Geometry (programme PřF, D-MA)
• Mathematical Analysis (programme PřF, D-MA)
• Mathematics (programme PřF, M-MA, specialization Discrete Mathematics)
• Mathematics (programme PřF, N-MA, specialization Discrete Mathematics)

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 annually.
The course is taught: every week.

• Enrolment Statistics (recent)
  
• Permalink: https://is.muni.cz/course/sci/autumn2001/M7210