Field Theory | Definition & Example Of Field | Unit Element in Ring | Abstract Algebra

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This video lecture of Field Theory | Definition & Example Of Field | Unit Element in Ring | Abstract Algebra | Examples & Solution By Definition | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
1. What is Field In Abstract Algebra ?
2. Examples Of Fields In Ring Theory
3. What is Unit Element Of a Ring
4. Definition and Theorem Of Unit Element
#RingTheory #FieldTheory #AbstractAlgebra #UnitElement
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This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech & M.Sc./M.Tech. students also preparing NET, GATE and IIT-JAM Aspirants.
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Time Stamp
Field: Unit element in a ring-
0:00 | An intro
0:18 | Topic introduction
1:58 | Field: Definition
6:46 | Example 1
7:56 | Example 2
10:28 | Unit element in a Ring with unity: Definition
14:59 | Theorem
18:12 | Conclusion of video
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Dr.Gajendra Purohit

[@gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work. Join Telegram Channel : t.me/mathsbygpsir Instagram Handle : instagram.com/dr.gajendrapurohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link to CSIR NET Maths Playlist : bit.ly/2R8sUjV Link to Aptitude Playlist : bit.ly/3ewDR7z Link to Mathematical Physics Playlist : bit.ly/2NvRHLJ Link to Abstract Algebra Playlist : bit.ly/2A70LUb Link to General Aptitude For CSIR NET : bit.ly/2ZeWpma Follwing Topics are also Available 1. Differential Calculus : bit.ly/2OTYXB0 2. Integral Calculus : bit.ly/34rLA1R 3. Differential Equation : bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis : bit.ly/2OP8hGp 6. Numerical Analysis : bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9 8. Statistics & Probability : bit.ly/2DmOt7Z 9. Operation Research : bit.ly/2pYYRjp 10. Matrices (Linear Algebra) : bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation : bit.ly/2XU9y33 14. Special Function & Series Solution : bit.ly/2XRSU4l 15. Infinite Series : bit.ly/37K6gUI 16. Group Theory : bit.ly/3ieUze2 Please share it with your Friends Thanks Dr.Gajendra Purohit

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Prove that R and S are nonzero ring then prove that R*S is never a field. Plz proof it

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Closure property v satisfy hona chahiye na abelian group hone k liye.. Sir please reply

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@@rayhanakhandakar7356 yes sab si pehly to Clousure hona zarore hi agar clousure na ho to pir to dosry properties check krni ke zrort e nhe hi

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Thankyou Sir 🙏🏻🌅

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Sir I am a Pakistani student.Sir, your method of teaching very nice and I requested to you keep to upload such nice videos of ring theory.Thanks sir.

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Gp सर सही में आज की class पड़ में मन खुश हो गया । आप की हँसी ओर एक मुकुराहट के साथ फील्ड के कांसेप्ट को समजाना । बात ही कुछ और है । great Sir .. Thank you once again

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मैं जीने के लिए अपने पिता का ऋणी हूँ , पर अच्छे से जीने के लिए अपने गुरु का. thank you sir ji i like you teaching style very much....

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hi

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Closure property v satisfy hona chahiye na abelian group hone k liye.. Sir please reply..

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Plz provide the upcoming videoss as soon as possible

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THANKYOU SIR

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Sir why don't you mention closure property in field

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Thnkuu sir....

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Please sir ring theory problem upload karantu. Apamara video is very important for us

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Sir Boolean algebra ,boolean identities ka video bana dijiye...

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Make videoe on nilpotent ideal and. Idempotent groups

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Thanks... Sir

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