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Ring Theory | Integral Domain | Integral Domain Examples | Theorems / Definitions
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- Опубліковано 17 сер 2024
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This video lecture of Ring Theory | Integral Domain | Integral Domain Examples | Theorems / Definitions | 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 Integral Domain ?
2. Examples Of Integral Domain In Ring Theory
3. Theorem Based On Integral Domain
4. This is part Of Ring Theory and Abstract Algebra
#RingTheory #IntegralDomain #AbstractAlgebra
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Time Stamp
Integral domain-
0:00 | An intro
0:18 | Topic introduction
3:21 | Integral Domain definition
5:14 | Example 1
6:26 | Example 2
8:14 | Theorem
12:43 | Conclusion of video
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tq sir
Sir mechanics ka material nahi available hai kya?
Sir you are the best 🙏
For all those confused about theoram here is my understanding of this matter.
Let 'p' be not a prime number.
Which means that 'p = p1 multiple p2'
And ( p1 and p2 are elements of Zp ).
Now [ p1 multiply_modulo(p) p2 = 0 ]
Because p1 and p2 both are not equal to 0 that means that Zp is with zero divisor
And it contradict the idea of Zp being integral domain.
So it means tha p must be a prime in order to Zp being a integral domain.
@Aman Bhati Thank you 👍🏻
P is prime.
a (multi_mod_p) b =0
and p divides ab,
Then how can we say that
a=0 or b=0...??????????
They both may be zero..
@@gauravpant6651Bro The Multiply Modulo Must Be Different From A And B... 😂😂
Thank you so much sir
I have already completed my bsc but my knowledge in group theory used to be very poor. Your videos have been really useful. Through your videos I hope to fully understand group theory.
Arts ka student bhi apse maths pdhkr top kr skta h sir
Seriously life me mujhe itna achha tutor maths ka nhi mila ✨👏👏 thnkyou so much sir 👑
after 3 years of failing in applied mathematics i can now finally pass exams because of you.Thank you sir,you are a life saver
Is the ring theory applied mathematics
@@Haseeb-if4yx pure.
@@Haseeb-if4yx ring theory is pure mathematics
This is pure mathematics bro
IC lye Tu bichara fail huta rha😂
So much interactive and awesome lectures sir. Thank you so much .
Ghar baithe padhai ho rhi hai sir aap ki wajah se. Thanks a lot sir.
3d ke video uploade kro sir ji
Aap both acha samjate ho
Thanks sir 🙏👍
Sir after complete this helpful topic. Please upload videos on vector space.
Thank you so much for this sympathy. 🙏🙏👍👍
Sir ur explanation is great....it helps me a lot... thank u so much ❤️
Howww are yu frnd shivi
Sir teaching speed and skills are very good.. it's very helpful to all students.
Sir please upload the video about vector space and linear transformation.
Sir,your explanation contains detailed information and is luicid.Thank you very much sir 👍👍👍......please upload the remaining topics...
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 ❤❤❤❤
Great teacher, Love you sir
Thank you for this sir .. I left this part in coaching 🙏🏻
Nice sir
Sir apke explaination bahut acha h sunkr concept clr ho gya mera
Thanks.sir
It's amazing class.. can you do it English or can you add subtitles..
Thank you Sir. 🙏 🙏
Best teacher the app
Sir u r great .....u r lectures are sooo helpful for me .....
Thanks Sir 👍🏻👍🏻
Sir you are the best teacher
Great work sir .
only say this for u sirji u r bestest teacher of maths🙏🙏🙏🙏🙏🙂🙂
Sir vector book ke chapter per video dalo sir plzzzzz
ThankYou Sir
Sir aapne humare semester bacha lie ...thanku 💫🥰
Sir Real analysis ke opar video kab aayega?
ID need not to have unity in it....
Only commutative ring with no zero divisor is complete definition. I dont know y u are taking unity as condition can u explain?
Thanks sir for everything you do selflessly 🙌
Sir you are best teacher of m
Mathematics
JAI GORISHANKAR JI JAI SIYARAM JI
Best for learning
JAI RADHESHYAM JI JAI HANUMAN JI
Thank you so much sir 🙏 🙏🙏🙏🙏🙏 nice video.
thank you sir for the wonderfull lecture
Thanks sir..🙏🏻🙏🏻🙏🏻♥️ very helpful
Thanks
Super sir thank you
Many doubts clear about integral domail
Thank you so much sir 🙏🙏🙏❤❤❤for your hard work for us😊😊😊.
sir please make a video on Normal form DNf and cnf .
And permutation and combinations
Thank you sir.
Thank you so much 💐.........sir
Thank you so much sir ☺️☺️
Thanku sir for valuable lecture
Didn't like the speed of the lecture as my sister is novice to BCA. Plus the speed is more for himself rather than students. Unhappy as she couldn't understand or process anything.
Finally someone said it
Mai to 1.5 * pe dekhta hu 💀
Decrease its own from play speed
@@ankitdahiya5952 Aree pehle se hi itna slow h....aur pta nhi kitna slow chahiye inhe.....time waste hoga slow me dekhne pe 😭
.5 pe dekh lo
Bahut achaa sir
Love you sir on you efforts, from Pakistan 🇵🇰, Carry-on, God bless you with more abilities, wisdom 💞
thnku so much sirrr you r so lovely
Sir in our without zero divisor the condition is ab=0 either a=0 or b=0 but in our multiplication modulo 3 there is 1*2=2 it become like this ab#0 s.t a#0 and b#0 ,which doesn't satisfie s our condition ,so how it become integral domain
I am also confused here
Yeah .....that's why I came to comment section
Bro please un no ko dekho jinka multiple 0 aa rha hai ,or usme se ek no = 0 hai that is the reason
I am confused in 1st theorem ,how multiply of 2 prime no is a prime no,
@@adksongs1524 brother a=4 and b=2 multiplication modulo is 4 product is 0 but a#0 b#0
Sir ideal pr class le lijie please
Thank you sir 😊🙏
Sir you said that you will upload video on 'books for iit jam maths' sir pls make a video on this.
Thank you sir 😊
Sir Can you Recommend me a book for farther Studies , I am from CS and i am studying these under Discreet Structures .
Thanks sir
Nice
great teaching
Tnq..sir
Nice class sir 🙏🙏🙏🙏
Thank you sir, ap a66i samjhate ho. ❤
Thanks sir 😇
Very nice sir
Sir pls complete lectures of ring
Sir plz discuss some ob.. Problem depends upon every topics
Itni speed...aese jesay experts k agay present kr rhy hn
Thanks 😘
Thank uu sir
sir please make the video of field.
Sir congruence of triangle par video
Sir pls explain theorem again.. we can't understand
Thnks sir
Sir app pahle best padhte hai
Sir please upload video on Dynamics
Nc sir
Hello sir ,app IAS mains ke mathematics ka syllabus bhi padhye
Sir please create videos about partial differential equations ,pune university
Thank u sir....sir abstract algebra ka koi book suggest karona plz
Sir mujhe LINER ALGEBRA -|| Ki tution ki jroort ha
Jikar ap aur kyoi bhi mujhe deye ta plz bta sir
Mujhe bhut jroort hai 🙏🏻
Sir apne bataya ki composite number ha to multiplication of two prime numbers hoga, 8 ek composite number ha and 8=4x2 , 2 is prime but 4 to prime nahi hai!! ????
Sir I Think that you should learn more Good way of teaching because as you are teaching it is more Confusing and hard to understand a easy topic ,when you teach you make complicated to each problems
Sir ap boht jaldi jaldi batate ja rhe hen,,,
Only definition of integral
fx = sin< 1/x> x irrational
0 otherwise 0
Composite number is multiplication of two prime number ,how sir 8 =2×4
(2) *4 (4) is not possible as z4 =( 0,1 ,2,3) . Little bit confuse
Sir please give me answer of this question.
Why we Study Differential Equation.
At 2:42 I think it is multiplicative modulo which is equal to zero and not the product of two numbers . Correct me if I am wrong.
No it is product not modulo
Plz upload next video
Sir iit jam ke liye linear Algebra ki videos kb aayegi sir
We are waiting for that videos
Sir plz ring of real quanternions pa lecture dejiye
If P IS A ODD PRIME,1+(1/2)+(1/3)+...(1/P-1)=a/b prove that a is divisible by p
Jab ap by hand se board par samjhte the
Sir.... any example of simple Abelian ring R which is not domain? 🤔
Is Z6 is right answer or not
Ha
Example 2 me without 0 divisor wrong bol rahe he app.
Sir plz use board and chalk
Sir MSc ki maths nhi krvaye kya you tube pr
Sir ,ap ne kaha k without zero divsor men two non zero ka product zero ho then 1x2 =2 Hy zero tu nhn Hy . Sorry
hello! sir,. ap bahut achha samjhate hai thanks sir
lekin ek binti hai 'Polynomial Rings ' par video nahi mil rha hai.