Sr mera aik sawal krdyn ye waala plzzz fast reply If R is an arbitrary ring and n∈Z+, prove that a) the sets In={na|a belong to R) and Jn={a∈R∣na=0} are both ideals of R; b) char (R/In) divides n c) if char R≠0,then char R divides n char(R/Jn)
Sir n= n1 .n2 hai To sir if n is smallest positive integer then how can we write it in the form of n1.n2 because two intezer Ka multiple grater then Hoga n sai
The smallest positive integer is 1 But 1 is neither prime nor composite Hence n=1 is not applicable for this theorem So therefore 1 is not a characteristics (depends on our Ring)
I think u r talking about Zp where p is prime under addition and multiplication modulo 5 Moreover Zp is Field And I have made a video that every filed is integral domain th-cam.com/video/8CWwyYzK3hs/w-d-xo.html
Sr mera aik sawal krdyn ye waala plzzz fast reply
If R is an arbitrary ring and n∈Z+, prove that
a) the sets In={na|a belong to R) and Jn={a∈R∣na=0} are both ideals of R;
b) char (R/In) divides n
c) if char R≠0,then char R divides n char(R/Jn)
Prime field of characteristic zero and of prime number.iske liye ise likh sathe h kya?
I m the first who comment u ...video is gud ...keep writing
Give an example of prime field of characteristic 7 please
4:30 . How do we know that ( n1*1) and (n2*1) is in D ???
No they do not belong to D but n1 and n2 are natural numbers therefore n1×n2=0 then either n1=0 or n2=0
Sir n= n1 .n2 hai
To sir if n is smallest positive integer then how can we write it in the form of n1.n2 because two intezer Ka multiple grater then Hoga n sai
The smallest positive integer is 1
But 1 is neither prime nor composite
Hence n=1 is not applicable for this theorem
So therefore 1 is not a characteristics (depends on our Ring)
n. 1 means n times addition of 1
Thanks sir for this easy proof
Thanks for supporting us
Make sure u have subscribed our channel
How to find out char. Of ring if given 20.1 =0 and 12.1 =0
What is the type of your Ring?
ring (z = {0,1,2,....(p-1)},+,×) is an integral domain iff p is prime pls ise solve kijiye sir pls..
I think u r talking about Zp where p is prime under addition and multiplication modulo 5
Moreover Zp is Field
And I have made a video
that every filed is integral domain
th-cam.com/video/8CWwyYzK3hs/w-d-xo.html
Is it that you can't communicate in English or what????😔
🥺🥺
Characterics of the subdomain is same as characteristics of D
Proof please
@@merinjohn5798 ok