Please upload your lecture videos more and more . I searched many and many sites but really I couldn't satisfied but when I see your lecture videos really I am very interested and satisfied ❤️
D be an integral domain and let F be the field of quotients of D. Show that if E is any field that contains D, then E contains a subfield that is ring-isomorphic to F. (Thus, the field of quotients of an integral domain D is the smallest field containing D) pls solve it pls
@@ShoulendraMishra exactly my point is...in integral domain the ring must be commutative with unity that what you didn't mentioned...you wrote wrong definition
Please upload your lecture videos more and more .
I searched many and many sites but really I couldn't satisfied but when I see your lecture videos really I am very interested and satisfied ❤️
zbrdst
The best way to explain 👍
Amazing
The way of teaching is just 👌👌👌👌👌
Thanks
Nice explanation
Thanks sir, 🙏
Acchha hai bhaisaab
love from Pakistan ❤️
Sir please complete ring theory as soon as possible because our exams are near
Bhaiya please feild per video banaiye.
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D be an integral domain and let F be the field of quotients of D. Show that if E is any field that contains D, then E contains a subfield that is ring-isomorphic to F. (Thus, the field of quotients of an integral domain D is the smallest field containing D) pls solve it pls
Sir 2Z is not an integral domain.okay
Because existence of multiplicative identity is not satisfied
well done
Ankita Mishra thanks
good
THANKS
A commutative ring with unity having no zero divisor is an integral domain...so 2Z can't be integral domain as there in no mulplicative indentity
We don't need 1 for integral domain
@@ShoulendraMishra then what will be the unity?
Where I mentioned for unity
In field we need
@@ShoulendraMishra exactly my point is...in integral domain the ring must be commutative with unity that what you didn't mentioned...you wrote wrong definition
Please sir order wise lectures ko arrange karo
Azad ahmad okk I will remember that
thanks.
ring chapter kb complete kryega itta late se video dalte h bhaiya
sorry bt very soon
Multiplicative identity kah hai 2z me
No multiplicative identity
It is not necessary for integral domain that multiplication identity exist.
Thanks u
shreyash shukla thanks for review share this channel with friends
16:00
Zero-divisors
AB=0 but not
A not equal zero
B not equal zero
Is called ,,,,,,,,
Yes
Am I wrong
2Z is not an integral domain because it is not with unity
1does not belong this set
Ye question is liye arise hota h qki different books me integral domain ki different def hoti h
Which book u used
@@devjyoti5614 ya
Nice job
Thanks for review