Homomorphism f is one - one if and only if kernel of f = {e} - Group Theory - In Hindi - lesson 7
Learn Math Easily Learn Math Easily
64.7K subscribers
15,167 views
333

 Published On Jun 1, 2019

Join this channel to get access to perks:
   / @learnmatheasily   Join this channel to get access to perks:
   / @learnmatheasily  

............ Join this channel to get access to perks:
   / @learnmatheasily  

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

welcome you all in my channel LEARN MATH EASILY

Link for this video is as follows:
   • Homomorphism f is one - one if and on...  

This video will be very useful if you are student of Higher Classes in mathematics like B.Sc, M.Sc , Engineering and if you are preparing for UGC Net and iit Jam etc.

Please Do not forget to Like, Share and Subscribe
Before this topic i did various other topics of Real Analysis:
My other Videos are as follows:

Metric Space
   • Metric Space - B.A/B.SC MATH HONS 2ND...  

Countable and Uncountable Sets
   • Countable and Uncountable Sets - B.A....  

Supremum & Infimum
   • Supremum & Infimum  

Connectedness - Real Analysis
   • Connectedness - Real Analysis  

Compactness
   • Compactness  

Neighbourhoods and Limit Points- Real Analysis
   • Neighbourhoods and Limit Points- Real...  

Infinite Sequences - Real analysis
   • Infinite Sequences - Real Analysis  

Indeterminate forms and l’hospital’s rule
   • Indeterminate forms and l’hospital’s ...  

Multiplication Tables- Shortcut tricks
   • Multiplication Tables- Shortcut tricks  

Shortcut tricks to Solve linear equations
   • Shortcut tricks to Solve linear equat...  

Quadratic Equations
   • Quadratic Equations  

Square and Cube Shortcuts
   • Squares & cubes shortcuts  

Number System
   • Number System  

HCF And LCM
   • HCF and LCM  

Multiplication Tricks
   • Multiplication Tricks  

Subscribe to My YouTube Channel " Learn Math Easily" :
   / @learnmatheasily  
.................................................
My Page on Facebook:
  / learnmathematicseasily  
.......................................................
   • Lower Bound, GLB and Infimum - In Hin...  

show more

Share/Embed