Academic Catalog

MATH461 RINGS AND MODULES

Course Code:	2360461
METU Credit (Theoretical-Laboratory hours/week):	3(3-0)
ECTS Credit:	6.0
Department:	Mathematics
Language of Instruction:	English
Level of Study:	Undergraduate
Course Coordinator:	Assoc.Prof.Dr. SEMRA ÖZTÜRK
Offered Semester:	Fall Semesters.
Prerequisite:	Set 1: 2360262 , 2360367 Set 2: 2360262 , 2360267 , 2360268
One of the sets above should be completed before taking MATH461 RINGS AND MODULES.

Course Content

Classical theory of rings, ideal theory, isomorphism theorems. The group ring. Localization. Submodules, direct products direct sums, factor modules and factor rings. Homomorphisms. Classical isomorphism the-orems. The endomorphism ring of a module. Free modules, free and divisible abelian groups. Tensor product of modules. Finitely generated modules over principal ideal domains.