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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 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 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🤔
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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
7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9
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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
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15. Infinite Series : bit.ly/37K6gUI
16. Group Theory : bit.ly/3ieUze2
Please share it with your Friends
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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.
JAI GORISHANKAR JI JAI SIYARAM JI
JAI RADHESHYAM JI JAI HANUMAN JI
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 🙏👍
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 .
Sir ur explanation is great....it helps me a lot... thank u so much ❤️
Howww are yu frnd shivi
Sir apke explaination bahut acha h sunkr concept clr ho gya mera
only say this for u sirji u r bestest teacher of maths🙏🙏🙏🙏🙏🙂🙂
Sir Real analysis ke opar video kab aayega?
Great teacher, Love you sir
Sir aapne humare semester bacha lie ...thanku 💫🥰
Thank you for this sir .. I left this part in coaching 🙏🏻
Sir after complete this helpful topic. Please upload videos on vector space.
Thank you so much for this sympathy. 🙏🙏👍👍
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 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 .....
Great work sir .
It's amazing class.. can you do it English or can you add subtitles..
Thanks sir for everything you do selflessly 🙌
Bahut achaa sir
Best teacher the app
Sir vector book ke chapter per video dalo sir plzzzzz
Nice sir
Super sir thank you
Many doubts clear about integral domail
Thanks sir..🙏🏻🙏🏻🙏🏻♥️ very helpful
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
Thank you so much sir 🙏 🙏🙏🙏🙏🙏 nice video.
Best for learning
thank you sir for the wonderfull lecture
sir please make a video on Normal form DNf and cnf .
And permutation and combinations
Sir ideal pr class le lijie please
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
Thank you so much sir 🙏🙏🙏❤❤❤for your hard work for us😊😊😊.
Love you sir on you efforts, from Pakistan 🇵🇰, Carry-on, God bless you with more abilities, wisdom 💞
Sir Can you Recommend me a book for farther Studies , I am from CS and i am studying these under Discreet Structures .
Thanku sir for valuable lecture
Nice class sir 🙏🙏🙏🙏
Thank you sir, ap a66i samjhate ho. ❤
Sir you said that you will upload video on 'books for iit jam maths' sir pls make a video on this.
Thank you so much 💐.........sir
Thanks sir 👍🏿👍🏿
Hello sir ,app IAS mains ke mathematics ka syllabus bhi padhye
great teaching
Sir pls complete lectures of ring
thnku so much sirrr you r so lovely
sir please make the video of field.
Thanks
Sir plz discuss some ob.. Problem depends upon every topics
Sir congruence of triangle par video
Sir please upload video on Dynamics
Sir MSc ki maths nhi krvaye kya you tube pr
Only definition of integral
fx = sin< 1/x> x irrational
0 otherwise 0
Very nice sir
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 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
If P IS A ODD PRIME,1+(1/2)+(1/3)+...(1/P-1)=a/b prove that a is divisible by p
Sir pls explain theorem again.. we can't understand
Thank u sir....sir abstract algebra ka koi book suggest karona plz
Thanks sir
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.... any example of simple Abelian ring R which is not domain? 🤔
Is Z6 is right answer or not
Ha
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 please create videos about partial differential equations ,pune university
Sir app pahle best padhte hai
Sir iit jam ke liye linear Algebra ki videos kb aayegi sir
We are waiting for that videos
Thank uu sir
Itni speed...aese jesay experts k agay present kr rhy hn
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
hello! sir,. ap bahut achha samjhate hai thanks sir
lekin ek binti hai 'Polynomial Rings ' par video nahi mil rha hai.
Nice
Sir please give me answer of this question.
Why we Study Differential Equation.
Composite number is multiplication of two prime number ,how sir 8 =2×4
Sir plz use board and chalk
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'.
Thnks sir
Product of 2 prime may not prime then Theorem may is baat ko ly k agy kesy chala ja sakta hy
(2) *4 (4) is not possible as z4 =( 0,1 ,2,3) . Little bit confuse
Sir ap boht jaldi jaldi batate ja rhe hen,,,
Sir plz ring of real quanternions pa lecture dejiye
Example 2 me without 0 divisor wrong bol rahe he app.
Sir Euclidean domain samajhea
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 need geometry 3d videos
Finite integral or integral domain me kya fark h 🤔
Plz upload next video
Sir vo jo video k beech me subscribe ka sound aata hai....bell wala vo kafi distracting hai... Focus hta deta hai
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
Nc sir
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
Why zero ring is not integral domain
However it has without zero divisor property
Sir thoda speed kam kriye plz
Yes bhot tej pdhate hnn
Prime number is prime number!!! 10:21 kuch samjh nhi aya
Jab ap by hand se board par samjhte the