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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.
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.
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.
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?
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
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!! ????
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.
Hey @@anuradhabhandari2942 you are right but here the problem is that its not simple multiplication operation it is multiplication modulo of p. If we multiple p1 and p2 then divide by p then its modulo will come 0 but here sir wrote that it will come equal to 'p'.
Sir, theorem samajhate waqt aapne shyad galat example le liya tha 2(×4)4 ...👉aisa hona chahiye 2(×4)2 Because multiplication (mod4 ) ke table me 0 se 3 tk ke hi numbers hote hain🤔
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
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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
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9. Operation Research : bit.ly/2pYYRjp
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11. Fourier Series : bit.ly/34u7iC9
12. Vector Calculus : bit.ly/2qICwXO
13. Theory Of Equation : bit.ly/2XU9y33
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Dr.Gajendra Purohit
tq sir
Sir mechanics ka material nahi available hai kya?
Sir you are the best 🙏
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 👑
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.
Ghar baithe padhai ho rhi hai sir aap ki wajah se. Thanks a lot 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😂
3d ke video uploade kro sir ji
Aap both acha samjate ho
Thanks sir 🙏👍
JAI RADHESHYAM JI JAI HANUMAN JI
So much interactive and awesome lectures sir. Thank you so much .
Sir apke explaination bahut acha h sunkr concept clr ho gya mera
Sir ur explanation is great....it helps me a lot... thank u so much ❤️
Howww are yu frnd shivi
JAI GORISHANKAR JI JAI SIYARAM JI
only say this for u sirji u r bestest teacher of maths🙏🙏🙏🙏🙏🙂🙂
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 u r great .....u r lectures are sooo helpful for me .....
Sir aapne humare semester bacha lie ...thanku 💫🥰
Great teacher, Love you sir
Thank you for this sir .. I left this part in coaching 🙏🏻
Sir Real analysis ke opar video kab aayega?
Thanks sir for everything you do selflessly 🙌
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?
Sir,your explanation contains detailed information and is luicid.Thank you very much sir 👍👍👍......please upload the remaining topics...
Sir you are the best teacher
Sir after complete this helpful topic. Please upload videos on vector space.
Thank you so much for this sympathy. 🙏🙏👍👍
Super sir thank you
Many doubts clear about integral domail
It's amazing class.. can you do it English or can you add subtitles..
Great work sir .
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
Best teacher the app
Thank you so much sir 🙏🙏🙏❤❤❤for your hard work for us😊😊😊.
Thanks sir..🙏🏻🙏🏻🙏🏻♥️ very helpful
Sir Can you Recommend me a book for farther Studies , I am from CS and i am studying these under Discreet Structures .
Thank you so much sir 🙏 🙏🙏🙏🙏🙏 nice video.
sir please make a video on Normal form DNf and cnf .
And permutation and combinations
Sir vector book ke chapter per video dalo sir plzzzzz
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 you said that you will upload video on 'books for iit jam maths' sir pls make a video on this.
Nice sir
Bahut achaa sir
Thank you sir, ap a66i samjhate ho. ❤
thank you sir for the wonderfull lecture
Love you sir on you efforts, from Pakistan 🇵🇰, Carry-on, God bless you with more abilities, wisdom 💞
Sir mujhe LINER ALGEBRA -|| Ki tution ki jroort ha
Jikar ap aur kyoi bhi mujhe deye ta plz bta sir
Mujhe bhut jroort hai 🙏🏻
Nice class sir 🙏🙏🙏🙏
Best for learning
Thank you so much 💐.........sir
Thanku sir for valuable lecture
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!! ????
Thank u sir....sir abstract algebra ka koi book suggest karona plz
Sir plz discuss some ob.. Problem depends upon every topics
Thanks sir 👍🏿👍🏿
Thanks.sir
Sir.... any example of simple Abelian ring R which is not domain? 🤔
Is Z6 is right answer or not
Ha
Hello sir ,app IAS mains ke mathematics ka syllabus bhi padhye
Sir MSc ki maths nhi krvaye kya you tube pr
thnku so much sirrr you r so lovely
hello! sir,. ap bahut achha samjhate hai thanks sir
lekin ek binti hai 'Polynomial Rings ' par video nahi mil rha hai.
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
Sir please give me answer of this question.
Why we Study Differential Equation.
Sir ideal pr class le lijie please
great teaching
12:10 sir got confused at this point and didn't explained why a or b should be zero.
Sir ko khud samajh me nahi aya aise hi jo likha tha bas bol diye
Sir please create videos about partial differential equations ,pune university
P=P1 multiplication modulo p P2, please help me understand this expression
Here p is composite no and multiplication of two prime no p1&p2 is composite no.
Hey @@anuradhabhandari2942 you are right but here the problem is that its not simple multiplication operation it is multiplication modulo of p.
If we multiple p1 and p2 then divide by p then its modulo will come 0 but here sir wrote that it will come equal to 'p'.
Sir pls complete lectures of ring
sir please make the video of field.
Sir iit jam ke liye linear Algebra ki videos kb aayegi sir
We are waiting for that videos
Sir please upload video on Dynamics
Product of 2 prime may not prime then Theorem may is baat ko ly k agy kesy chala ja sakta hy
Very nice sir
Sir congruence of triangle par video
Only definition of integral
fx = sin< 1/x> x irrational
0 otherwise 0
Sir app pahle best padhte hai
Sir pls explain theorem again.. we can't understand
Itni speed...aese jesay experts k agay present kr rhy hn
Composite number is multiplication of two prime number ,how sir 8 =2×4
If P IS A ODD PRIME,1+(1/2)+(1/3)+...(1/P-1)=a/b prove that a is divisible by p
(2) *4 (4) is not possible as z4 =( 0,1 ,2,3) . Little bit confuse
Thanks
Sir, theorem samajhate waqt aapne shyad galat example le liya tha 2(×4)4 ...👉aisa hona chahiye 2(×4)2
Because multiplication (mod4 ) ke table me 0 se 3 tk ke hi numbers hote hain🤔
Sir ap boht jaldi jaldi batate ja rhe hen,,,
Nice
Sir plz ring of real quanternions pa lecture dejiye
Thank uu sir
Thanks sir
Example 2 me without 0 divisor wrong bol rahe he app.
Thnks sir
Finite integral or integral domain me kya fark h 🤔
Sir vo jo video k beech me subscribe ka sound aata hai....bell wala vo kafi distracting hai... Focus hta deta 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 Euclidean domain samajhea
Sir plz use board and chalk
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
Nc sir
Plz upload next video
Prime number is prime number!!! 10:21 kuch samjh nhi aya
Sir thoda speed kam kriye plz
Yes bhot tej pdhate hnn
Sir need geometry 3d videos
Why zero ring is not integral domain
However it has without zero divisor property
😂Jo Maine Gyan diya 3:29