Ring Theory | Commutative Ring | Ring With Unity | Definition/Examples/Properties

Поділитися
Вставка
  • Опубліковано 15 гру 2024

КОМЕНТАРІ • 263

  • @gajendrapurohit
    @gajendrapurohit  4 роки тому +40

    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

  • @sonalidas5530
    @sonalidas5530 3 роки тому +107

    Sir u don't know how much helpful the videos are to me... This chapter was intially difficult to understand but u made it so easy and... I just imagine how wonderful it would have been if u were a professor in our college😟🥺😭

    • @Pramod_Rawat0
      @Pramod_Rawat0 2 роки тому +1

      Forget about college professor, they don't even talk properly let alone teach. They are such morons that I feel like killing them on the spot.

    • @maverick_technology5285
      @maverick_technology5285 2 роки тому +7

      She is our maths teacher 🔥🔥

    • @silu9755
      @silu9755 Рік тому +3

      I'm here don't fear

    • @abeerverma748
      @abeerverma748 Рік тому +3

      Dear sonali das Rajasthan KI Gokhruu publication ki books lelo mSc ki ..ye sb ditto vhi se chaapa h sir n😂

  • @bhavishy_choudhary
    @bhavishy_choudhary 2 роки тому +9

    Thanks sir, aapki videos se hi mere bsc ho rhi h🙏

  • @PKNEHAL11
    @PKNEHAL11 3 роки тому +15

    I am watching your videos for revision purpose....
    A lot of thanks to you!

  • @rajeshjain1204
    @rajeshjain1204 2 роки тому +7

    It is the most detailed and best content on ring theory in UA-cam 🔥

  • @smrity169
    @smrity169 3 роки тому +20

    Sir , I really appreciate your efforts. Thank you so much for helping us .

  • @mr.deepakkumar9522
    @mr.deepakkumar9522 4 роки тому +14

    Sir complete kre ring thorey all concept
    All vedios daily

  • @pritamkumar3352
    @pritamkumar3352 Рік тому +2

    You are the best Teacher sir

  • @ravindrapalsingh394
    @ravindrapalsingh394 4 роки тому +10

    Sir ring morphism, quotitent ring, euclidien ring, polynomial ring pe vios dalo please🙏

  • @VemuriSaiNiteesh-zb8bq
    @VemuriSaiNiteesh-zb8bq 6 місяців тому

    Thanks

  • @rahulnamanverma4445
    @rahulnamanverma4445 8 місяців тому +1

    JAI SIYARAM JAI HANUMAN JI😍

  • @bvsaspirants7346
    @bvsaspirants7346 4 роки тому +6

    Thank you sir for helping students.
    I completely get what you have tought

  • @sikandersaini8648
    @sikandersaini8648 4 роки тому +5

    Sir make video on
    1)ring homomorphism and ring isomorphism
    2)Product and quotient of algebraic structure
    3)codes and group codes
    Plzzz sir 🙏🙏
    Sir u r doing a great job
    Love from KARNAL(haryana)

  • @roniqsahabg457
    @roniqsahabg457 3 роки тому +3

    You are greaT more respect from Pakistan

  • @mohitmishra754
    @mohitmishra754 4 роки тому +5

    Thanks sir ji...love from (uttarkashi) uttarakhand

  • @fajarfajar2730
    @fajarfajar2730 2 роки тому +1

    Allah apko iska ajr dyy Great mathematician

  • @ayushkumarsingh2537
    @ayushkumarsingh2537 Рік тому +2

    Sir, at 11:47; I am unable to understand the table. Kindly help me to understand.🙏🙏

  • @swayamsingh07
    @swayamsingh07 3 роки тому +1

    Sir aap padhate bhi aachahai or apke notes to masallah bhut aachehai mujhe kuch samjh nahi aarahatha group thoery me ...but your videoes make me understand everything now i am prepare for my end sem exams..🙃❤️thnkyou😍

  • @rebekafirdoushi616
    @rebekafirdoushi616 2 роки тому

    Best teacher on internet......

  • @susantapradhan228
    @susantapradhan228 3 роки тому +1

    Thank you sir.aap ka teaching style mujhe achha lagta hai ❤️

  • @ashwath4158
    @ashwath4158 2 роки тому +1

    My fvrt subject 😁😄

  • @SMblog90
    @SMblog90 Рік тому

    Sir,I am watching videos for revision purpose ....
    A lot of thanks...Sir

  • @alisufian109
    @alisufian109 4 роки тому

    Very nice .....boht achy tareeqy Sy samjhaty hen ap....thanks

  • @bannu1006
    @bannu1006 4 роки тому +2

    I got 90 marks in degree first sem sir your classes are very useful thank you sir

  • @AayushR1
    @AayushR1 4 роки тому +6

    Sir ias maths optional me kyaa aap ke lectures kaam ayenge?

  • @dsbaghel860
    @dsbaghel860 3 роки тому +1

    Thankyou so much sir for making videos for us.

  • @SouvikDas-ov6bc
    @SouvikDas-ov6bc 4 роки тому +1

    You are very helpful sir...

  • @sundharvm4698
    @sundharvm4698 9 місяців тому

    East or west g. P sir is always best love uu so much sir for the wonderful topics❤❤❤

  • @entertainmentforall6656
    @entertainmentforall6656 4 роки тому +1

    Sir in topic pr video bnaye plzzz sir...
    Green function and Transform Method
    1 Expansion of Green function
    2 Transform Method
    3 Closed form Green function
    Perturbation Techniques
    1 Perturbation method for algebraic equation
    2 Perturbation method for Differential equations
    Variational Methods
    1 Euler Lagrange equation
    2 Integrand involving one,two three and n variables .
    3 Special cases of Euler Lagrange equation
    4 Necessary conditions for existence of an ectremum of an functional.
    5 Constrained maximum and minima.

  • @ghmaths
    @ghmaths 3 роки тому +1

    thanks sir for making this video

  • @tomoete6104
    @tomoete6104 2 роки тому

    Tnk u sir..... extremely good to watch your video ...

  • @swastiktiwari7066
    @swastiktiwari7066 День тому

    Regarding point 5 at 13:35 : Doesn't commutative-ness and unity properties of the Ring come from the multiplicative part ? So, it's a commutative ring with unity because 1 is unity with respect to multiplication modulo and also multiplication modulo is commutative with respect to integers ?

  • @ashishshukla7144
    @ashishshukla7144 4 роки тому +3

    Thank you so much sir 🙏🙏

  • @priyasaraf9756
    @priyasaraf9756 Рік тому

    Thank you so much sir. I am watching your videos for ssb . It is very helpful to revision syllabus in short period.
    From Odisha😊🙏🙏

  • @rahulsonesh
    @rahulsonesh 4 роки тому +1

    Thank you so much sir
    God bless you sir
    Sir ghar pd hi raho or videos banate raho sir 😇😇

  • @satishchandra6623
    @satishchandra6623 3 роки тому +11

    Sir just one suggestion. It would be helpful if you create a separate video on where we use this group theory

  • @radhikavishwakarma262
    @radhikavishwakarma262 2 роки тому +1

    Thankyou so much for best guidelines 😊

  • @komalmalviya3903
    @komalmalviya3903 3 роки тому +1

    This is really helpful thank you

    • @Jaswantsingh12121
      @Jaswantsingh12121 3 роки тому

      This is watsapp group for any doubt then ask In this group and if you intelligent then help other person

  • @amanjaiswal1797
    @amanjaiswal1797 4 роки тому +14

    Sit complete Ring in 21 days lock down please

  • @samiatariq1779
    @samiatariq1779 3 роки тому

    sir you are a great teacher

  • @memebaaz4005
    @memebaaz4005 4 роки тому +2

    Sir wats is the uses of groups in practical life.

    • @sharanpreetsingh717
      @sharanpreetsingh717 4 роки тому +1

      I asked my professor same , and she said in practical life groups will help you in passing the exam .

    • @memebaaz4005
      @memebaaz4005 4 роки тому +1

      @@sharanpreetsingh717 hahaha

    • @bp-oy9nc
      @bp-oy9nc Місяць тому

      Mare ko lagta hai practical life me koi kam nahi hai only dimak kharab karne k liye hi padna hai

  • @zulafkarlodhi8875
    @zulafkarlodhi8875 4 роки тому +4

    thnkuuuu so much sir......❤
    ur way of teaching is mind blowing I had seen so many tr. but nobody is like u ..God bless you sirr nd u achieve success in ur life.may Allah help you💕💕💕❤❤❤❤❤❤❤💕💕💕💕💕💕.

  • @I.mmanas
    @I.mmanas Рік тому

    Sir,
    The Content is very helpful 👍📖✍️📒😇

  • @shubhatarunpasuparthi283
    @shubhatarunpasuparthi283 Рік тому +1

    Sir what are the pratical applications of ring , what is it significance

  • @simransimi4972
    @simransimi4972 2 роки тому +1

    Hello sir ,
    thank u so much for these series of abstract algebra .......
    It is really helpful .....

  • @iqranawaz7240
    @iqranawaz7240 2 роки тому

    it is really helpful to me thank you sir

  • @rahultalukder1743
    @rahultalukder1743 Рік тому

    THANK YOU SIR.
    (from BANGLADESH)

  • @SandipSingh-2677
    @SandipSingh-2677 4 роки тому

    Sir your video very useful for bsc exam

  • @sonuchouhan7154
    @sonuchouhan7154 4 роки тому

    Thank you sir you are very good. Teacher

  • @abhinandanjain2399
    @abhinandanjain2399 Рік тому

    Thank you so much sir awesome explanation hai aapki.

  • @I.mmanas
    @I.mmanas Рік тому

    And 😅😊Sir is in some different mood in this video
    Thankyou Sir 🙏🏻
    The Content is very helpful ✍️📖📒😇

  • @hellofachannel6565
    @hellofachannel6565 3 роки тому +7

    Kindly upload videos on number theory, Euclid algorithm, fermats theorem, Diophantine eqs,
    Keep up the good work! From Pakistan

  • @Krishkhant12
    @Krishkhant12 Рік тому

    Sir you are so amazing ❤❤I love your way of teaching

  • @honesty8008
    @honesty8008 3 роки тому

    Àap Bahut achaa samjate h

  • @sunilsahani311
    @sunilsahani311 4 роки тому +2

    Sir es pr base iit jam ke questions bhi btaiye plz

  • @noorigull7909
    @noorigull7909 3 роки тому

    It was too helpful sir

  • @shubhamsharma2043
    @shubhamsharma2043 2 роки тому

    Thanks sir for my doute clear

  • @rajpalkamble6942
    @rajpalkamble6942 2 роки тому +1

    Hii,
    I'm studying tybsc maths ,belong to indapur. sir please polynomial ring per aap video banao apane group theory or Ring Theory mai bahut achha concept bataya Hai or Abhi hame polynomial ring padhana Hai please explain.,,,,,,,,,...

  • @panchatatva6749
    @panchatatva6749 2 роки тому

    Lots of Thank you sir ❣

  • @SSDrago
    @SSDrago Рік тому

    Thanks you very much sir. Very helpful video 🙂

  • @pawansuyal8799
    @pawansuyal8799 4 роки тому

    Excellent Teaching Sir ji

  • @mathsbymuhammadali4475
    @mathsbymuhammadali4475 3 роки тому

    Sir you are great teacher i am from pakistan

  • @theashasingh
    @theashasingh 3 роки тому

    You are too good sir 🤞🤞🤞🤞🤞

  • @saroshahmed8240
    @saroshahmed8240 4 роки тому

    Nice sir u are great math teacher

  • @elizabetholawale2383
    @elizabetholawale2383 3 роки тому +1

    Please I need more explanation on that rings 🥺
    It's still kind of confusing me please 🥺😓
    Thank you

  • @bikasgauda5956
    @bikasgauda5956 4 роки тому +1

    Tq sir

  • @priyagedhar9620
    @priyagedhar9620 3 роки тому +1

    Sir plz make a video on homomorphism and embedding of rings , and also prime ideal , maximal ideal , principal ideal , factor ring

  • @mpgunionpriyanka2732
    @mpgunionpriyanka2732 2 роки тому

    Love you sir 😘

  • @b.r1947
    @b.r1947 Рік тому

    Very halpful 🙏🙏

  • @muhammadinzmamulhaq456
    @muhammadinzmamulhaq456 4 роки тому +1

    Hello.. Sir kindly Upload a video about Maximal ideal .please

  • @smitdesai9492
    @smitdesai9492 2 роки тому +1

    Just Wish that what if you are my maths teacher..🤔

  • @Rp63888
    @Rp63888 3 роки тому

    Nice class sir 🙏🙏🙏🙏

  • @happylearning8972
    @happylearning8972 4 роки тому +1

    sir our bhi daliye

  • @Smannn10008
    @Smannn10008 3 роки тому

    Thank you so much,,, for your cause less mercy. Thank you very much.

  • @Chandangiri8134
    @Chandangiri8134 8 місяців тому

    Sir please discuss the Gate questions of Rings🙏🏻

  • @shubhamshinkar5692
    @shubhamshinkar5692 3 роки тому

    Thanks so much sir

  • @Divyakant2341991
    @Divyakant2341991 4 роки тому

    no words for your teaching

  • @gopalbhagat9528
    @gopalbhagat9528 4 роки тому +1

    Sir jee please make a more videos
    And please make video on linear recurrence relation with constant coefficients or bhi video upload kijye
    Particular solution and generating function

  • @RajendraPrasad-dq1ts
    @RajendraPrasad-dq1ts 4 роки тому

    Thank you sirji

  • @KiranVerma-fi2to
    @KiranVerma-fi2to 6 місяців тому

    First composition table me b+b = a Kaise Hua??

  • @honesty8008
    @honesty8008 3 роки тому

    Well teaching

  • @ankita_the_sagittarian.wri2299
    @ankita_the_sagittarian.wri2299 2 роки тому

    Sir I have joined ur telegram channel please share more videos related to ring theory
    We have BSC IGNOU exams this week👍🙏

  • @teamindia6746
    @teamindia6746 3 роки тому +1

    Tq🙏🙏🙏🙏🙏🙏

  • @komaljadhav1975
    @komaljadhav1975 4 роки тому

    Very nice sir 👍

  • @ShivamGupta-vk4xc
    @ShivamGupta-vk4xc 3 роки тому

    Great sir

  • @experimentalvlogs1585
    @experimentalvlogs1585 6 місяців тому

    Sir, I am saying that if you upload the videos that you upload one after another in lachar-1 or class-1 in this way, then it will be easier to understand.

  • @lavneeshgurjar982
    @lavneeshgurjar982 3 роки тому +2

    Sir inme 6th semester ring theory and linear algebra 2 ka syllabus cover ho rha h na

  • @amitpandey7605
    @amitpandey7605 4 роки тому

    Sir statistics and dyanamics ka video upload kijiye
    Please

  • @gmmathematicslove
    @gmmathematicslove 8 місяців тому

    ❤thanks ❤

  • @naveenthakur3532
    @naveenthakur3532 Рік тому

    Love you sir

  • @MathematicalMinds
    @MathematicalMinds Рік тому

    Sir it means here operations are not fixed these may be different
    But whatever the operation are the set must be commutative group under ist operation and semigroup under second operation
    Also distribution of operations

  • @mathswithchill.5651
    @mathswithchill.5651 3 роки тому

    Outstanding

  • @siman395
    @siman395 4 роки тому

    Please make video on vector space

  • @siturani3357
    @siturani3357 4 роки тому

    U r great sir🙏

  • @jinalhere
    @jinalhere 3 роки тому

    Thank you so much sir :)

  • @MathematicalMinds
    @MathematicalMinds Рік тому +1

    Sir
    Please reply why do we study rings and more especially commutative rings ?
    I asked to many professors they told we don't know so your are last hope
    I'm waiting for reply

  • @movestudy2864
    @movestudy2864 2 роки тому

    Maximum subgroup ,composition series,Jordan holdar theorem ,bhi krvaiye sir plz

  • @yeshambelworeknh
    @yeshambelworeknh 5 місяців тому

    show that the set s = a + b√2 : a, b are elements of real numbers is a ring under the operations of addition and multiplication, can you work this questions?

  • @ChatGPT6162
    @ChatGPT6162 4 роки тому

    Owsome,😗😍😍😍😍

  • @pankajkorvlogs
    @pankajkorvlogs 2 роки тому

    Nice 👌