Question: Q#1 (a) Explain the five short lemma with the help of two different examples . (10) (b) Construct and explain two different examples of module

Q#1 (a) Explain the five short lemma with the help of two different examples . (10) (b) Construct and explain two different examples of module which or not vector vector spaces. (10) (c) Find all submodules of the module R (set of all real numbers) Over itself. (10) (d) Give and explain an example of map a which is group homomorphism but is not R-module homomorphism. (10) (e) Construct and explain an exact sequence in module

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