Ring Theory | Subring | Theorems & Examples Of Subring | Abstract Algebra

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Dr.Gajendra Purohit

Dr.Gajendra Purohit

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This video lecture of Ring Theory | Subring | Theorems & Examples Of Subring | Abstract Algebra | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
1. What is Subring and Examples Of Subring ?
2. Necessary and Sufficient Condition For Subring.
3. Theorems on Subring.
4. This is part Of Abstartct Algebra.
#RingTheory #Subring #ExamplesOfSubring #AbstractAlgebra
#EngineeringMahemaics #BSCMaths #GATE #IITJAM #CSIRNET
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
Subring-
0:00 | An intro
0:18 | Topic introduction
1:01 | Subring: Definition
1:42 | Types of subrings: Definition
3:36 | Example 1
4:51 | Example 2
5:23 | Example 3
5:39 | Theorem 1
10:00 | Corollary
10:20 | Theorem 2
12:14 | Corollary
12:27 | Example 1
13:51 | Example 2
17:04 | Conclusion of video
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Dr.Gajendra Purohit

Пікірлер: 123
@gajendrapurohit
@gajendrapurohit 4 жыл бұрын
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
@javierdarius246
@javierdarius246 3 жыл бұрын
A trick: you can watch movies at kaldroStream. Me and my gf have been using them for watching all kinds of movies these days.
@scottelon2837
@scottelon2837 3 жыл бұрын
@Javier Darius yup, I've been using Kaldrostream for since december myself :D
@tristennasir5954
@tristennasir5954 3 жыл бұрын
@Javier Darius definitely, I've been watching on KaldroStream for years myself :)
@everetthuxley8605
@everetthuxley8605 3 жыл бұрын
@Javier Darius yea, I've been watching on KaldroStream for since november myself :)
@zaydenluciano1124
@zaydenluciano1124 3 жыл бұрын
@Javier Darius definitely, been using KaldroStream for since december myself :D
@realhistory123
@realhistory123 4 жыл бұрын
मै self study करता था क्युकी मुझे कभी best टीचर नहीं मिला आपके video देखे आपसे काफी प्रभावित हुआ।आपके कारण मैंने iit jam के 2 exam पास कर दिया।thank you sir love you sir।
@reena1368
@reena1368 Жыл бұрын
Hello bhai
@reena1368
@reena1368 Жыл бұрын
Mujhe aapse jam ki bare Book list puchne h and startegey
@reena1368
@reena1368 Жыл бұрын
Plz bta dijiye aapka clear ho gya iit jam
@koli_samaj1204
@koli_samaj1204 Жыл бұрын
@@reena1368 aapki university me jo bhi book chalti hai unhe padhe + dr gajender sir ki video dekhe Sabse important arihant ki perivious year iit jam ki book le aaye
@imamsiddiqullah6581
@imamsiddiqullah6581 3 жыл бұрын
Sir we need principal ideal domain, Euclidean domain, unique factorization domain , quotient field and homomorphism of rings lectures
@Dusk425
@Dusk425 2 жыл бұрын
Yes we really need them
@SKREJAULHASSAN
@SKREJAULHASSAN 2 жыл бұрын
We really need of...
@muhammadammarpk638
@muhammadammarpk638 3 жыл бұрын
Hello sir :). Ur lectures r owsum n very helpful thanks for working for us..sir also tell me about pigeon hole principle plxxx
@iamakr9
@iamakr9 4 жыл бұрын
Hello sir Your work is inspiring and admirable, as a student I request you to please upload videos on topic SOLID GEOMETRY ENGINEERING MATHEMATICS SUBTOPICS: Cartesian, Spherical polar and Cylindrical cordinate systems, Sphere, Cone and Cylinder. Thank you , ho sake to reply kar dena sir
@NavjotKaur-cp3zy
@NavjotKaur-cp3zy Жыл бұрын
Nice sir your lectures are awesome easily explained and highlate important base thank you so much sir❤❤
@khushbookushwaha7769
@khushbookushwaha7769 3 жыл бұрын
Sir ji you are great teacher your lecture very nice 🙏🙏🙏🙏
@arpitasingh6008
@arpitasingh6008 4 жыл бұрын
Bhut aache se samaj me aata hai samaj Kar sir😊😊😊
@SandeepGupta-xq4fp
@SandeepGupta-xq4fp 4 жыл бұрын
Thanks you so much sir you are God for me
@ajaykumarpatriot3505
@ajaykumarpatriot3505 3 жыл бұрын
अति सुंदर explaination🙏🙏🙏🙏
@ShubhamYadav-gu7ls
@ShubhamYadav-gu7ls 3 жыл бұрын
Best explanations sir 🙏🙏🙏
@RishabhSharma-xt1iq
@RishabhSharma-xt1iq 4 жыл бұрын
Sir you are great i like your video
@sounakbhattacharya9646
@sounakbhattacharya9646 7 ай бұрын
Thank you Sir. 🙏 🙏
@Faizan-wq6tx
@Faizan-wq6tx 2 жыл бұрын
Really too beneficial video
@abhinandanjain2399
@abhinandanjain2399 Жыл бұрын
Sir thank you so much.
@sivakumaran9317
@sivakumaran9317 4 жыл бұрын
Sir! you are most powerful genius sir,good night sir.
@deepaksuwalka4681
@deepaksuwalka4681 4 жыл бұрын
One million subscribers as soon as 🙏🙏
@Shivakshi-ze2jq
@Shivakshi-ze2jq 3 жыл бұрын
Thank you so much sir
@bobbyfreefire6971
@bobbyfreefire6971 Жыл бұрын
U help us werry well sir
@AkSharma-qi9pc
@AkSharma-qi9pc 3 ай бұрын
Great job sir🎉
@samirmitra2119
@samirmitra2119 2 ай бұрын
excellent , please provide most numerical part .
@sumitkashyap5469
@sumitkashyap5469 3 жыл бұрын
Sir aap Bahut achha padhate hai.pura dout clear ho jata hai
@ashishshukla7144
@ashishshukla7144 4 жыл бұрын
Thank you so much
@anitakashyap787
@anitakashyap787 4 жыл бұрын
Sir topology and sequence pr video bna do plz bhot hard lgre h dono apki help se easy ho jayege
@indianhacker5852
@indianhacker5852 2 жыл бұрын
Very nice sir impressive 💯💯
@SumitKumar-hg2my
@SumitKumar-hg2my 3 жыл бұрын
Thank you sir 🙏
@scholar-mj3om
@scholar-mj3om Жыл бұрын
Marvelous💯💯
@fujail360pro3
@fujail360pro3 2 жыл бұрын
Tnkx ✌️
@rashmikumari605
@rashmikumari605 Жыл бұрын
Sir aap bhot acha smjhate h
@prasadvirendra2024
@prasadvirendra2024 2 жыл бұрын
Sir love you and thank you so much you are best thanks a lot I can't explain my love you save my time with my family Money thank you so much love you ❤❤❤❤
@sivakumaran9317
@sivakumaran9317 4 жыл бұрын
Excellent sir
@Mohitkumar-do4zx
@Mohitkumar-do4zx Жыл бұрын
helpful lecture sir , but i think that in theorem 1 , there should be a+(-b) belongs to S instead of a-(-b)belongs to S , because S is closed for the addition operation ................
@saurabhmyblogging
@saurabhmyblogging 4 жыл бұрын
Best teaching sir
@arshadkhanofficial9464
@arshadkhanofficial9464 Жыл бұрын
Nice sir thanks
@MrRespectMaths
@MrRespectMaths 2 жыл бұрын
Great sir
@mohdmasoodulhaqawan4218
@mohdmasoodulhaqawan4218 Жыл бұрын
thank u sir
@sheetalsheetal9390
@sheetalsheetal9390 3 жыл бұрын
Thank you sir
@Rp63888
@Rp63888 3 жыл бұрын
Nice class sir 🙏🙏🙏
@anshipriya2612
@anshipriya2612 4 жыл бұрын
Sir please post videos on ideals, maximals and prime ideals and quotient rings of theory as soon as possible
@SCCSalempur
@SCCSalempur 4 жыл бұрын
🙏🙏🙏👍🏻
@abhishekprajapat5305
@abhishekprajapat5305 3 жыл бұрын
Thanks sir 😊
@apoorvarappu16
@apoorvarappu16 5 ай бұрын
Wonderful❤
@mathsloversjn3453
@mathsloversjn3453 3 жыл бұрын
V nice explain sir
@dasarivenkatesh7502
@dasarivenkatesh7502 3 жыл бұрын
Thanks.... Sir
@Dr.PayalHiranwar
@Dr.PayalHiranwar Жыл бұрын
Nice video 👌
@nextmove4695
@nextmove4695 4 жыл бұрын
Sir u r best
@siddheshthakur8079
@siddheshthakur8079 2 жыл бұрын
Thanks
@snehal3539
@snehal3539 4 жыл бұрын
Sir please make video on classical mechanics
@manoj_moj
@manoj_moj 2 жыл бұрын
Thanku sir 🙏🙏
@sumitkashyap5469
@sumitkashyap5469 3 жыл бұрын
Great quotient ring per upload kijiye sir
@tarakotdarchula4842
@tarakotdarchula4842 Жыл бұрын
Most experience teacher
@biswajitbarik1077
@biswajitbarik1077 4 жыл бұрын
Thank u so much for these stuffs sir🙏🙏...sir aap yai batao ki woh symmetric group aur permutation group wala lecture kab layenge???badly waiting...
@shamikbhattacharjee7321
@shamikbhattacharjee7321 4 жыл бұрын
try bhagwan singh bishwakarma channel
@biswajitbarik1077
@biswajitbarik1077 4 жыл бұрын
@@shamikbhattacharjee7321 thanks for the suggestion 🙏
@Ashishkumar-em5cx
@Ashishkumar-em5cx Жыл бұрын
Hello Sir I am learning Generic Maths for Bsc Semester 4 in this video
@hassanmahmud1443
@hassanmahmud1443 Жыл бұрын
Love from Bangladesh ❤❤❤
@logicalthinking123
@logicalthinking123 4 жыл бұрын
Thanku sir
@sunilsahani311
@sunilsahani311 4 жыл бұрын
Sir polynomial ring pr bhi video bnaoplease
@nikhilkamal3401
@nikhilkamal3401 4 жыл бұрын
Sir aap jam ki class unacademy per kab se start kar rahe hai
@sandippramanik9427
@sandippramanik9427 5 ай бұрын
Done sir...
@goodlogic3729
@goodlogic3729 4 жыл бұрын
Sir Please bsc final year maths (Rigid body dynamic and. Hydrostatics Pe video upload (languge. Hindi)
@easysolutionmathwithmisbah421
@easysolutionmathwithmisbah421 3 жыл бұрын
Nice sir
@user-yv8ue6rq5z
@user-yv8ue6rq5z 9 ай бұрын
please send to us best modern algebra book!
@user-yv8ue6rq5z
@user-yv8ue6rq5z 9 ай бұрын
you are alwyes smart
@PriyanshuKumar-lb3qf
@PriyanshuKumar-lb3qf 4 жыл бұрын
Sir physics ke liye bhi koe channel suggest kijiye
@vishaljha2697
@vishaljha2697 4 жыл бұрын
Sir field of quotient vala bhi topic dali
@mihirswain6639
@mihirswain6639 2 жыл бұрын
Osmmm
@gopalshaw2024
@gopalshaw2024 3 жыл бұрын
@ 9:34 (S,+) is an abelian group not a commutative group...correct it sir....thank you sir for teaching us in this way.
@wasubhat4163
@wasubhat4163 3 жыл бұрын
Abelian aur commutative ek he hota hai
@anubhabpradhan2054
@anubhabpradhan2054 Жыл бұрын
Bro abelian and commutative ek hi he
@padmapriyadharshini3964
@padmapriyadharshini3964 2 жыл бұрын
Hai sir l want answer for how many subrings in z8, z12 and z13?
@danishkhan3914
@danishkhan3914 4 жыл бұрын
Sir g permutation group pay bhi kutch video banawo na
@punyapratap4134
@punyapratap4134 4 жыл бұрын
Sir please upload de morive theorem
@Bigbrother__29
@Bigbrother__29 2 жыл бұрын
Respect for your efforts ❤✌...but Khi khi aap uda de rhe h.. Bs reading kr k badh ja rhe h .. Unsb chij ko v explain kr diya kijye.
@himanshui10i34
@himanshui10i34 4 жыл бұрын
Sir permutation group kab Kara rahe ho aapne video m bola h ki quotient group ki theorem k conversaly proof aap permutation group m karvaoge pls sir jaldi Kara do.
@SCCSalempur
@SCCSalempur 4 жыл бұрын
Vector space???
@rdxcreater5988
@rdxcreater5988 4 жыл бұрын
Sir math 3 yr k liye bata do
@sarojkantabehera8303
@sarojkantabehera8303 4 жыл бұрын
Sir mene ye comment isliye kiya hai ki me ek b tech 1year 2nd sem ka student hu me chahata hu ki aap 2ndsem ka kuch important question ek vdo ke throgh upload kare to bahut badi meherawani hagi please sir.
@priyankajaiswal621
@priyankajaiswal621 4 жыл бұрын
Sir plz upsc mathematics optional class krwaye
@rehankhan-me3ys
@rehankhan-me3ys 4 жыл бұрын
I wnt maths optional coaching for upsc .....sir
@Simran-jk6yo
@Simran-jk6yo 3 жыл бұрын
Sir yeh b. Sc maths hons k liye h???
@Allinone-ci5ex
@Allinone-ci5ex 4 жыл бұрын
An infinite ring has always infinite subring ...plz sir is ka bta dain agar true hy to proof kro dain
@niazalisaltorovi5750
@niazalisaltorovi5750 3 жыл бұрын
Great sir,,,,👍👍 🇵🇰🇵🇰
@Trajectory743
@Trajectory743 2 жыл бұрын
Sir multiplicative identity to 1 hai .i.e.,woh b improper subset hona chahiye tha
@aartisingh3435
@aartisingh3435 5 ай бұрын
Sir cuet pg entrance ki video kaha milengi fir
@starkfitness2528
@starkfitness2528 3 жыл бұрын
Sir g....white board aur marker ka use kigyea... presentation m dikkat hota h
@amolrangdol4201
@amolrangdol4201 Жыл бұрын
Sir how a+b belongs to s in sufficient condition you said that a-b and ab belongs to s
@shanezehra7597
@shanezehra7597 4 жыл бұрын
me apk yhe lectures sunte hun
@muhammadrehman1584
@muhammadrehman1584 3 жыл бұрын
Sir center of ring ka concept nhi mel rha
@mukuljangir8731
@mukuljangir8731 4 жыл бұрын
Sir ring theory complete kro
@muhammadrehman1584
@muhammadrehman1584 3 жыл бұрын
Sir ap ny ring ky complete bny h
@soumya58907
@soumya58907 4 жыл бұрын
Sir CSIR net ke liye plzz sirrr
@shuvamchatterjee8611
@shuvamchatterjee8611 4 жыл бұрын
GATE videos please
@user-yv8ue6rq5z
@user-yv8ue6rq5z 9 ай бұрын
tankew
@shanezehra7597
@shanezehra7597 4 жыл бұрын
sir mjhe gat k liye tyare krne plx help kren ksy krun
@rahulbakolia4443
@rahulbakolia4443 3 жыл бұрын
Sir ye ditto lines to ghokroo m hi di hui h . Aap green board pr hi shi pdhate to Ajkl to theory subject ki trh math pdhate ho
@David-gn5rp
@David-gn5rp 2 жыл бұрын
I can't understand anything ...
@dodlenaveenkumar-dp8jm
@dodlenaveenkumar-dp8jm 7 ай бұрын
🙂🥲
@AkSharma-qi9pc
@AkSharma-qi9pc 3 ай бұрын
Hd mathematics pr ja k class lo yhaa se notes bnna lo
@durgeshshukla750
@durgeshshukla750 Жыл бұрын
5:49 yeh to kya hai😅.... B sc students be like ➡ye bhut kuch hai sir
@gulshanfatima8757
@gulshanfatima8757 3 жыл бұрын
Sir ap thodaa slow bolain please
@soumya58907
@soumya58907 4 жыл бұрын
Content upload kare plzz
@rkentertainment2633
@rkentertainment2633 3 жыл бұрын
MLSU ke jyada usufull hai 😂😂 ❤️
@laxmanjatav4786
@laxmanjatav4786 4 ай бұрын
Sir ..example solution pele se kyu laate ho solve krke. Btaya kro
@dheerajthakur3583
@dheerajthakur3583 2 жыл бұрын
Sir thoda aaram se samjhaya karo itne jldi me ku rehte ho.
@amanbisht862
@amanbisht862 Жыл бұрын
Sorry but yha p ap bs jo board p likha h usko hi pronounce krre ho😅
@sudhanshugupta5733
@sudhanshugupta5733 Жыл бұрын
Thank you so much sir
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