Homomorphism f is one - one if and only if kernel of f = {e} - Group Theory - In Hindi - lesson 7

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Here in this video i will explain a very important theorem on kernel of a homomorphism which states that if homomorphism f is one one then kernel of f = {e} .
if f is a homomorphism from G to G' then we write kernel of this homomorhism f as kerf and it is defined as
kerf= {x belongs to G/ f(x)=e}
Kerf contains all those elements of G which maps to identity.
If you are looking out for any of these queries then solution is here:
1)if homomorphism f is one - one then kernel of f = {e}
2) if homomorphism f is one - one then kernel of f = {e} in hindi
3) if kernel of f = {e} then homomorphism f is one - one
4) if kernel of f = {e} then homomorphism f is one - one in Hindi
everything is explained in Hindi
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[@malihafatima9529]

Excellent Dear Mam😍😍😍

[@PrashantSingh-wb5bo]

Thanks a lot mam excellent teaching 😊🙏🙏

[@learnmatheasily]

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[@SAURABHSWARAJBCE]

great explanation mam

[@sunilkumar-go7ci]

Osm explanation👍👍👍

[@naqihaider6363]

So good 😊

[@IqraKhan-xh2cp]

Thank you so much ma'am

[@rakshakaithwas5905]

Way of explaining is vry good. Grt teacher nd vry helpful lecture😊

[@preetikumari6611]

Thnx ma'am

[@abhaychourasiya4736]

Great

[@chunmunchunmun2390]

nice explanation mam( Let f be a homomorphism of a group G into a group G' with kernal K .let a be a given element of G such that f(a)=a'€G'. Then the set of all those elements of G which have the image a' in G' is the coset Ka of K in G.). mam mujhe isma problem aa rhi ha understanding mai or proof mai bhi meri apsa request ha app isa bhi apne video lectures mai include kra mam please.

[@Olive25-q]

Thanks mam

[@ghulammustafa5313]

Nice

[@AamirShahzad553]

Kerl of isomorphism is what

[@learnmatheasily]

{e}

[@elonmuskSpaceX-2030]

Mam please explain in detail😢

[@learnmatheasily]

Ok