Uploaded January 2022 | Updated September 2026, 2 weeks ago
A proof that bijections have two-sided inverses by considering the preimages of injective and surjective functions.
Functions playlist: youtube.com/playlist?list=PLug5ZIRrShJG35bSmijiKFxerMar8jMCi
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Music: C418 - Pr Department
A proof that bijections have two-sided inverses by considering the preimages of injective and surjective functions.
Functions playlist: youtube.com/playlist?list=PLug5ZIRrShJG35bSmijiKFxerMar8jMCi
Subscribe to see more new math videos!
Music: C418 - Pr Department
![Introduction and Derivation of F[x]-Modules](https://i.ytimg.com/vi/H44q_Urmts0/mqdefault.jpg "Introduction and Derivation of F[x]-Modules
Modules over a polynomial ring have very important applications to linear algebra. Here we prove some basic properties of F[x]-modules and show how they are related to vector spaces over a field.
Ring & Module Theory playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJExMapwnaKTFXDYbKeWDXq7
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Music: C418 - Pr Department")
