R is a Field iff Polynomial Ring R[x] is Principal Ideal Domain - Proof- ED - Lesson 20

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Here in this video i will explain a theorem which states that R is a Field iff Polynomial Ring R[x] is Principal Ideal Domain , which comes under the topic Euclidean Domain.
everything is explained in Hindi
welcome you all in my channel LEARN MATH EASILY
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:
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• Metric Space - B.A/B.S...
Countable and Uncountable Sets
• Countable and Uncounta...
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• Supremum & Infimum
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• Indeterminate forms an...
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Square and Cube Shortcuts
• Squares & cubes shortcuts
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• Number System
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• HCF and LCM
Multiplication Tricks
• Multiplication Tricks
Subscribe to My TH-cam Channel " Learn Math Easily" :
/ @learnmatheasily
.................................................
My Page on Facebook:
/ learnmathematicseasily
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• Lower Bound, GLB and I... cyclic vbv
Here in this video i will explain a theorem which states that A Polynomial Ring R[x] has unity iff R has unity , which comes under the topic Euclidean Domain.
everything is explained in Hindi
welcome you all in my channel LEARN MATH EASILY
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.S...
Countable and Uncountable Sets
• Countable and Uncounta...
Supremum & Infimum
• Supremum & Infimum
Connectedness - Real Analysis
• Connectedness - Real A...
Compactness
• Compactness
Neighbourhoods and Limit Points- Real Analysis
• Neighbourhoods and Lim...
Infinite Sequences - Real analysis
• Infinite Sequences - R...
Indeterminate forms and l’hospital’s rule
• Indeterminate forms an...
Multiplication Tables- Shortcut tricks
• Multiplication Tables-...
Shortcut tricks to Solve linear equations
• Shortcut tricks to Sol...
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 TH-cam Channel " Learn Math Easily" :
/ @learnmatheasily
.................................................
My Page on Facebook:
/ learnmathematicseasily
.......................................................
• Lower Bound, GLB and I... cyclic vbv

[@nitinmodi7199]

Very well explained.

[@Priyeshverma350]

Thanks mam

[@joejake4]

Thanks

[@mohdtalhakhan7859]

thanks maim

[@maths_side]

Ur amazing mam .....

[@dishantrajani8390]

Mam polynomial ring ka part 21 video nahi mil raha

[@SubhamKumar-eg1pw]

Hi, Which book have you used it here?

[@Priyeshverma350]

Khanna

[@Ramanarajacademy1986]

Is this iff condition?

[@learnmatheasily]

Yes