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

📒⏩Comment Below If This Video Helped You 💯
Like 👍 & Share With Your Classmates - ALL THE BEST 🔥
Do Visit My Second Channel - bit.ly/3rMGcSA
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.
Find Online Solutions Of Ring Theory | Subring | Theorems & Examples Of Subring | Abstract Algebra | Problems & Concepts by GP Sir (Gajendra Purohit)
Do Like & Share this Video with your Friends. If you are watching for the first time then Subscribe to our Channel and stay updated for more videos around Mathematics
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
📚 Our Book Publications
✨ Combat Test Series IIT JAM Mathematics Book - amzn.eu/d/dk9GBKI
✨ Combat Test Series CSIR-NET/ JRF Mathematics Book - amzn.eu/d/dBGfvZQ
🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹
👤 My Social Media Handles
📌 GP Sir Instagram: / dr.gajendrapurohit
📌 GP Sir Facebook Page: / drgpsir
📌 Join GP Sir Telegram Group:- telegram.me/mathsbygpsir
📌 Website: www.mathscare.com/
📌App: play.google.com/store/apps/de...
✅Our TH-cam Channels
📌Dr.Gajendra Purohit - GATE / IIT JAM / CSIR NET - bit.ly/3Kccgej
📌Dr.Gajendra Purohit Exam Prep - bit.ly/3ZyDBfb
📚 Important Course Playlists
▶️ Link to B.Sc. Maths Playlist: bit.ly/3cAg1YI
▶️ Link to Engineering Maths Playlist: bit.ly/3thNYUK
▶️ Link to IIT-JAM Maths Playlist: bit.ly/3tiBpZl
▶️ Link to GATE (Engg.) Maths Playlist: bit.ly/3eEI3VC
▶️ Link to IAS Optional Maths Playlist: bit.ly/3vzHl2a
▶️ Link To CSIR NET Maths Playlist: bit.ly/3rMHe0U
▶️ Link to Short Tricks for IIT JAM, CSIR NET & GATE Playlist - bit.ly/3LVfgge
▶️ Link to General Aptitude Playlist - bit.ly/42KAQKa
▶️ Link to IIT JAM, GATE, CSIR NET, NBHM, SET PYQ Series - bit.ly/3lHBNSX
▶️ Link to Conceptual Question Series - bit.ly/3JOpbkV
▶️ Link to Motivational Videos & Tips For Students Playlist - bit.ly/3tdAGbM
📚 Following Topics Are Also Available
▶️Linear Algebra: bit.ly/3qMKgB0
▶️Abstract Algebra Lectures: bit.ly/3rOh0uS
▶️Real Analysis: bit.ly/3tetewY
▶️Complex Analysis: bit.ly/3vnBk8D
▶️Differential Equation: bit.ly/38FnAMH
▶️Partial Differentiation: bit.ly/3tkNaOV
▶️Numerical Analysis: bit.ly/3vrlEkA
▶️Operation Research: bit.ly/3cvBxOq
▶️Statistics & Probability: bit.ly/3qMf3hf
▶️Integral Calculus: bit.ly/3qIOtFz
▶️Differential Calculus: bit.ly/3bM9CKT
▶️Multivariable Calculus: bit.ly/3qOsEEA
▶️Vector Calculus: bit.ly/2OvpEjv
📷 My Equipment & Gear
📌My Phone - amzn.to/38Cfvsg
📌My Primary Laptop - amzn.to/2PUW2MG
📌My Secondary Laptop - amzn.to/38EHQy0
📌My Primary Camera - amzn.to/3eFl9NN
📌My Secondary Camera - amzn.to/3vmBs8h
📌Secondary Mic - amzn.to/2PSVffd
📌Vlogging Mic - amzn.to/38EIz2g
📌Tripod - amzn.to/3ctwJJn
📌Secondary Screen - amzn.to/38FCYZw
Thanks For Watching My Video 🙏🏻
Like, Share & Subscribe 💯
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

[@javierdarius246]

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]

@Javier Darius yup, I've been using Kaldrostream for since december myself :D

[@tristennasir5954]

@Javier Darius definitely, I've been watching on KaldroStream for years myself :)

[@everetthuxley8605]

@Javier Darius yea, I've been watching on KaldroStream for since november myself :)

[@zaydenluciano1124]

@Javier Darius definitely, been using KaldroStream for since december myself :D

[@realhistory123]

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]

Hello bhai

[@reena1368]

Mujhe aapse jam ki bare Book list puchne h and startegey

[@reena1368]

Plz bta dijiye aapka clear ho gya iit jam

[@koli_samaj1204]

@@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

[@muhammadammarpk638]

Hello sir :). Ur lectures r owsum n very helpful thanks for working for us..sir also tell me about pigeon hole principle plxxx

[@imamsiddiqullah6581]

Sir we need principal ideal domain, Euclidean domain, unique factorization domain , quotient field and homomorphism of rings lectures

[@Dusk425]

Yes we really need them

[@SKREJAULHASSAN]

We really need of...

[@iamakr9]

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

[@ShubhamYadav-gu7ls]

Best explanations sir 🙏🙏🙏

[@khushbookushwaha7769]

Sir ji you are great teacher your lecture very nice 🙏🙏🙏🙏

[@sivakumaran9317]

Sir! you are most powerful genius sir,good night sir.

[@scholar-mj3om]

Marvelous💯💯

[@ashishshukla7144]

Thank you so much

[@ajaykumarpatriot3505]

अति सुंदर explaination🙏🙏🙏🙏

[@SandeepGupta-xq4fp]

Thanks you so much sir you are God for me

[@NavjotKaur-cp3zy]

Nice sir your lectures are awesome easily explained and highlate important base thank you so much sir❤❤

[@RishabhSharma-xt1iq]

Sir you are great i like your video

[@Faizan-wq6tx]

Really too beneficial video

[@SumitKumar-hg2my]

Thank you sir 🙏

[@indianhacker5852]

Very nice sir impressive 💯💯

[@deepaksuwalka4681]

One million subscribers as soon as 🙏🙏

[@arpitasingh6008]

Bhut aache se samaj me aata hai samaj Kar sir😊😊😊

[@Shivakshi-ze2jq]

Thank you so much sir

[@sivakumaran9317]

Excellent sir

[@sounakbhattacharya9646]

Thank you Sir. 🙏 🙏

[@Rp63888]

Nice class sir 🙏🙏🙏

[@abhinandanjain2399]

Sir thank you so much.

[@AkSharma-qi9pc]

Great job sir🎉

[@bobbyfreefire6971]

U help us werry well sir

[@saurabhmyblogging]

Best teaching sir

[@abhishekprajapat5305]

Thanks sir 😊

[@sheetalsheetal9390]

Thank you sir

[@anitakashyap787]

Sir topology and sequence pr video bna do plz bhot hard lgre h dono apki help se easy ho jayege

[@arshadkhanofficial9464]

Nice sir thanks

[@dasarivenkatesh7502]

Thanks.... Sir

[@mohdmasoodulhaqawan4218]

thank u sir

[@apoorvarappu16]

Wonderful❤

[@samirmitra2119]

excellent , please provide most numerical part .

[@nextmove4695]

Sir u r best

[@fujail360pro3]

Tnkx ✌️

[@sumitkashyap5469]

Sir aap Bahut achha padhate hai.pura dout clear ho jata hai

[@mathsloversjn3453]

V nice explain sir

[@MrRespectMaths]

Great sir

[@Dr.PayalHiranwar]

Nice video 👌

[@manoj_moj]

Thanku sir 🙏🙏

[@rashmikumari605]

Sir aap bhot acha smjhate h

[@prasadvirendra2024]

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 ❤❤❤❤

[@siddheshthakur8079]

Thanks

[@logicalthinking123]

Thanku sir

[@snehal3539]

Sir please make video on classical mechanics

[@anshipriya2612]

Sir please post videos on ideals, maximals and prime ideals and quotient rings of theory as soon as possible

[@SCCSalempur]

🙏🙏🙏👍🏻

[@Mohitkumar-do4zx]

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 ................

[@sumitkashyap5469]

Great quotient ring per upload kijiye sir

[@easysolutionmathwithmisbah421]

Nice sir

[@mihirswain6639]

Osmmm

[@sunilsahani311]

Sir polynomial ring pr bhi video bnaoplease

[@tarakotdarchula4842]

Most experience teacher

[@hassanmahmud1443]

Love from Bangladesh ❤❤❤

[@biswajitbarik1077]

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]

try bhagwan singh bishwakarma channel

[@biswajitbarik1077]

@@shamikbhattacharjee7321 thanks for the suggestion 🙏

[@Ashishkumar-em5cx]

Hello Sir I am learning Generic Maths for Bsc Semester 4 in this video

[@nikhilkamal3401]

Sir aap jam ki class unacademy per kab se start kar rahe hai

[@PriyanshuKumar-lb3qf]

Sir physics ke liye bhi koe channel suggest kijiye

[@sandippramanik9427]

Done sir...

[@vishaljha2697]

Sir field of quotient vala bhi topic dali

[@danishkhan3914]

Sir g permutation group pay bhi kutch video banawo na

[@user-yv8ue6rq5z]

please send to us best modern algebra book!

[@user-yv8ue6rq5z]

you are alwyes smart

[@padmapriyadharshini3964]

Hai sir l want answer for how many subrings in z8, z12 and z13?

[@punyapratap4134]

Sir please upload de morive theorem

[@goodlogic3729]

Sir
Please bsc final year maths
(Rigid body dynamic and. Hydrostatics
Pe video upload (languge. Hindi)

[@niazalisaltorovi5750]

Great sir,,,,👍👍 🇵🇰🇵🇰

[@rdxcreater5988]

Sir math 3 yr k liye bata do

[@priyankajaiswal621]

Sir plz upsc mathematics optional class krwaye

[@Bigbrother__29]

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.

[@user-yv8ue6rq5z]

tankew

[@himanshui10i34]

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]

Vector space???

[@aartisingh3435]

Sir cuet pg entrance ki video kaha milengi fir

[@rehankhan-me3ys]

I wnt maths optional coaching for upsc .....sir

[@gopalshaw2024]

@ 9:34 (S,+) is an abelian group not a commutative group...correct it sir....thank you sir for teaching us in this way.

[@wasubhat4163]

Abelian aur commutative ek he hota hai

[@anubhabpradhan2054]

Bro abelian and commutative ek hi he

[@Trajectory743]

Sir multiplicative identity to 1 hai .i.e.,woh b improper subset hona chahiye tha

[@starkfitness2528]

Sir g....white board aur marker ka use kigyea... presentation m dikkat hota h

[@sarojkantabehera8303]

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.

[@Allinone-ci5ex]

An infinite ring has always infinite subring ...plz sir is ka bta dain agar true hy to proof kro dain

[@Simran-jk6yo]

Sir yeh b. Sc maths hons k liye h???

[@muhammadrehman1584]

Sir center of ring ka concept nhi mel rha

[@shanezehra7597]

sir mjhe gat k liye tyare krne plx help kren ksy krun

[@muhammadrehman1584]

Sir ap ny ring ky complete bny h

[@soumya58907]

Sir CSIR net ke liye plzz sirrr

[@mukuljangir8731]

Sir ring theory complete kro

[@shanezehra7597]

me apk yhe lectures sunte hun

[@amolrangdol4201]

Sir how a+b belongs to s in sufficient condition you said that a-b and ab belongs to s

[@shuvamchatterjee8611]

GATE videos please

[@gulshanfatima8757]

Sir ap thodaa slow bolain please

[@soumya58907]

Content upload kare plzz

[@rahulbakolia4443]

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

[@durgeshshukla750]

5:49 yeh to kya hai😅.... B sc students be like ➡ye bhut kuch hai sir

[@rkentertainment2633]

MLSU ke jyada usufull hai 😂😂 ❤️

[@laxmanjatav4786]

Sir ..example solution pele se kyu laate ho solve krke. Btaya kro

[@David-gn5rp]

I can't understand anything ...

[@dodlenaveenkumar-dp8jm]

🙂🥲

[@AkSharma-qi9pc]

Hd mathematics pr ja k class lo yhaa se notes bnna lo

[@dheerajthakur3583]

Sir thoda aaram se samjhaya karo itne jldi me ku rehte ho.

[@amanbisht862]

Sorry but yha p ap bs jo board p likha h usko hi pronounce krre ho😅

[@sudhanshugupta5733]

Thank you so much sir