Ring Theory | Commutative Ring | Ring With Unity | Definition/Examples/Properties

[@gajendrapurohit]

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Sir complete kre ring thorey all concept
All vedios daily

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Thanks

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Sir make video on
1)ring homomorphism and ring isomorphism
2)Product and quotient of algebraic structure
3)codes and group codes
Plzzz sir 🙏🙏
Sir u r doing a great job
Love from KARNAL(haryana)

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Sir ring morphism, quotitent ring, euclidien ring, polynomial ring pe vios dalo please🙏

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A lot of thanks...Sir

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Sir, at 11:47; I am unable to understand the table. Kindly help me to understand.🙏🙏

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Sir just one suggestion. It would be helpful if you create a separate video on where we use this group theory

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(from BANGLADESH)

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Keep up the good work! From Pakistan

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Sit complete Ring in 21 days lock down please

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From Odisha😊🙏🙏

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thanks sir for making this video

[@swastiktiwari7066]

Slide at 13:11 made me wonder when are two nXn matrices A and B commutative ?
A sufficient condition is when A and B are simultaneously diagonalisable, i.e., A = T^(-1) D1 T and B = T^(-1) D2 T. where D1 and D2 are diagonal matrices. Then, AB = T^(-1) D1 D2 T = T^(-1) D2 D1 T = BA
Note however that this condition is sufficient but not necessary. For example, if we take a nXn non-diagonalisable matrix A and nXn identity matrix I , then AI = IA , ie, A and I commute but A is non-diagonalisable

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Green function and Transform Method
1 Expansion of Green function
2 Transform Method
3 Closed form Green function
Perturbation Techniques
1 Perturbation method for algebraic equation
2 Perturbation method for Differential equations
Variational Methods
1 Euler Lagrange equation
2 Integrand involving one,two three and n variables .
3 Special cases of Euler Lagrange equation
4 Necessary conditions for existence of an ectremum of an functional.
5 Constrained maximum and minima.

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[@swastiktiwari7066]

Regarding point 5 at 13:35 : Doesn't commutative-ness and unity properties of the Ring come from the multiplicative part ? So, it's a commutative ring with unity because 1 is unity with respect to multiplication modulo and also multiplication modulo is commutative with respect to integers ?

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I'm studying tybsc maths ,belong to indapur. sir please polynomial ring per aap video banao apane group theory or Ring Theory mai bahut achha concept bataya Hai or Abhi hame polynomial ring padhana Hai please explain.,,,,,,,,,...

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Sir what are the pratical applications of ring , what is it significance

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We have BSC IGNOU exams this week👍🙏

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Sir please discuss the Gate questions of Rings🙏🏻

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Sir plz make a video on homomorphism and embedding of rings , and also prime ideal , maximal ideal , principal ideal , factor ring

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Particular solution and generating function

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Please

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Sir
Please reply why do we study rings and more especially commutative rings ?
I asked to many professors they told we don't know so your are last hope
I'm waiting for reply

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