Lecture 8 - Modules and Homomorphisms

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Modules and Homomorphisms
  1. Introduction to Commutative Algebra
  2. Module
  3. Module homomorphism
  4. Module isomorphism
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Комментарии
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No cap best algebra teacher i have seen in YouTube hands off sir

shaunfrost
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how do people give lectures like this? i can't imagine creating all these examples off the top of my head. very impressive!

AA-pyhi
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It would have been better if instead of syncing the camera with the prof, a wide angle frame would have been used keeping the content on the board steady!!

AnshulDhunna
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Sir please provide module theory full lecture.

nirbhay
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good combination of examples and definitions!

Rockyyang
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Really good introduction to modules, thanks for sharing this.

petersylow
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Excellent lectures thank you so much sir.

archishabagchi
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muito obrigado professor. Thanks you teacher...

profesormiltongabrielperdo
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Regarding the question at 20:00 : Which I believe was "[We also need] f(1)=1". To which the answer was that we do not need to specify this because "it's already there in M", "there is no f(1) there, and both of them are modules over A". I would just like to know what is meant by this? My own guess is that we would not need to specify this since we do not have 1 \in M per se, since the only binary operation on M is +, and 1 only make sense as an element of A, so to specify f(1)=1 makes no sense. But I'm not sure what the Prof. really means by his remarks. Anyone else?

kiwanoish