Estb. 1882

University of the Punjab

MATH-422 Theory of Modules

Modules  Definition and examples
 Submodules
 Homomorphisms
 Quotient modules
 Direct sums of modules.
 Finitely generated modules
 Torsion modules
 Free modules
 Basis, rank and endomorphisms of free modules
 Matrices over rings and their connection with the basis of a free module
 A module as the direct sum of a free and a torsion module
Credit hours/ Marks:- 3

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