INTEGRAL DOMAIN: DEFINITION & EXAMPLES

[@PREETIKUMARI-dw9zd]

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 ❤️

[@aymanarooj6512]

zbrdst

[@PREETIKUMARI-dw9zd]

The best way to explain 👍

[@abihaanoor7216]

Amazing

[@abhayrajsingh709]

The way of teaching is just 👌👌👌👌👌

[@ShoulendraMishra]

Thanks

[@MuhammadTariq-eb2ib]

Nice explanation

[@jaishreeradhe6668]

Thanks sir, 🙏

[@rubenyl3491]

Acchha hai bhaisaab

[@aymanarooj6512]

love from Pakistan ❤️

[@azad2830]

Sir please complete ring theory as soon as possible because our exams are near

[@abhishekguptaabhi854]

Bhaiya please feild per video banaiye.

[@ShoulendraMishra]

YES WATCH PLAYLIST

[@tusharjoshi8916]

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

[@PREETIKUMARI-dw9zd]

Sir 2Z is not an integral domain.okay
Because existence of multiplicative identity is not satisfied

[@ankitamishra4357]

well done

[@ShoulendraMishra]

Ankita Mishra thanks

[@AliAhmad3810.]

good

[@ShoulendraMishra]

THANKS

[@siddhimaddheshia2552]

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

[@ShoulendraMishra]

We don't need 1 for integral domain

[@siddhimaddheshia2552]

@@ShoulendraMishra then what will be the unity?

[@ShoulendraMishra]

Where I mentioned for unity

[@ShoulendraMishra]

In field we need

[@siddhimaddheshia2552]

@@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

[@azad2830]

Please sir order wise lectures ko arrange karo

[@ShoulendraMishra]

Azad ahmad okk I will remember that

[@mizanurrahmanmondal3541]

thanks.

[@SURAJkumar-wx8kr]

ring chapter kb complete kryega itta late se video dalte h bhaiya

[@ShoulendraMishra]

sorry bt very soon

[@ManishYadav-mr2mv]

Multiplicative identity kah hai 2z me

[@ShoulendraMishra]

No multiplicative identity

[@ShoulendraMishra]

It is not necessary for integral domain that multiplication identity exist.

[@shreyashshukla9027]

Thanks u

[@ShoulendraMishra]

shreyash shukla thanks for review share this channel with friends

[@kaushikbaruah4462]

16:00

[@Basapuramvenkat]

Zero-divisors
AB=0 but not
A not equal zero
B not equal zero
Is called ,,,,,,,,

[@ShoulendraMishra]

Yes

[@ShoulendraMishra]

Am I wrong

[@PREETIKUMARI-dw9zd]

2Z is not an integral domain because it is not with unity
1does not belong this set

[@ShoulendraMishra]

Ye question is liye arise hota h qki different books me integral domain ki different def hoti h

[@ShoulendraMishra]

Which book u used

[@ShoulendraMishra]

@@devjyoti5614 ya

[@dharmendramishra1287]

Nice job

[@ShoulendraMishra]

Thanks for review