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Examples of rings. 

NPTEL-NOC IITM
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Lecture 2
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12 сен 2024

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Комментарии : 9   
@Fabulous2907
@Fabulous2907 4 года назад
Sir zero ring R={0}.In this ring 1=0 how..??? Explain
@adeelali8417
@adeelali8417 4 года назад
He means that '0' is the multiplicative identity.
@crazycowbow
@crazycowbow 4 года назад
@@adeelali8417 yeah, perhaps he should've been clearer on that
@slaozeren8742
@slaozeren8742 3 года назад
it is a trivial set. do not think over it too much.
@arupabinash2263
@arupabinash2263 3 года назад
Actually, in a ring multiplication doesn't always have an identity. You should follow the definition from the book contemporary abstract algebra(4th edition).
@sitanathmajumder3453
@sitanathmajumder3453 2 года назад
Here you've to check only one element for multiplicative identity. So if you multiply 0 with 0 then you can get 0. So 0 is multiplicative identity here
@priyankakalange5723
@priyankakalange5723 5 лет назад
Plz upload all video
@mitulvaghela4613
@mitulvaghela4613 3 года назад
On 23:35 constant function 1 sends every element of R to itself.
@HarshKumar-ch1ss
@HarshKumar-ch1ss Год назад
no, here we are considering "1: a --> 1", so that it can be multiplicative identity for the ring
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