Homomorphisms (Abstract Algebra)
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YouTubeSocratica
Homomorphisms (Abstract Algebra)
A homomorphism is a function between two groups. It's a way to compare two groups for structural similarities. Homomorphisms are a powerful tool for studying and cataloging groups. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ We recommend the following textbooks: Dummit ...
Sep 17, 2014
Module homomorphism examples
Suppose R is an integral domain with quotient field Q and let N be any R-module. Let Q ΘR N be the module obtained from N by extension of scalars from R to Q. Prove that the kernel of the R-module homomorphism t: N →Q ⊗R N is the torsion submodule of N (cf. Exercise 8 in Section 1). [Use the previous exercise.] | Numerade
Suppose R is an integral domain with quotient field Q and let N be any R-module. Let Q ΘR N be the module obtained from N by extension of scalars from R to Q. Prove that the kernel of the R-module homomorphism t: N →Q ⊗R N is the torsion submodule of N (cf. Exercise 8 in Section 1). [Use the previous exercise.] | Numerade
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