Theorem || If K/F is an extension of F and a is algebraic over F iff [F(a): F ]=n || Field Theory

Field extension # Algebraic extension # Extension of a field # M.Sc Maths # Field Theory
Advance abstract algebra
Field theory
Theorem-If K/F is an extension of F and a is algebraic over F iff [F(a): F ]=n
Simple field extension
Polynomial field

[@poojatanwar1784]

Amazing sir ...well explained 🤟🙏🙏

[@parikshitkumar6273]

Prove that number e is transcendental . Sir please make a vdo on this theorem it is very important ..nd my exam is on 9 Dec

[@sarita3351]

Thnku sir ❤❤❤..bht acha smjaya apne...

[@rupanshikaushik8535]

Sir please continue this series☺

[@kumardillip4505]

Excellent explanation sir.... Upload all the videos of modern algebra

[@priyankatayde4643]

thank you sir

[@anjalisangwan7572]

Sir jase hm order of element nikalte h to normaly hm ase krte h ki hm element ki jitni power krte h ki identify aa jaye mtlb koi bhi integer n s.t. a^n=e but sir jase hme ye dekhna ho ki R group h with respect to addition to usme kitne kitne order K kitne element hoge isko kase solve kre sir pliz a vedio on this topic plizzzzz reply dena sir 🙏🏼🙏🏼🙏🏼🙏🏼🙏🏼🙏🏼🙏🏼🙏🏼🙏🏼🙏🏼

[@karansirmathematics]

In additive group .. exp.. a group of additive modulo 5 is {0,1,2,3,4} then identity element is 0 so we can find order of element i.e 2^1=2, 2^2=2+2=4, 2^3= 2+2+2 =6 ...... 2^5=2+2+2+2+2=10 so now see 10 modulo 5 is 0 that mens order of 2 is 5

[@anjalisangwan7572]

@@karansirmathematics sir ye to smjh aa gya sir but R me to infinite element g group uske ander kase pta kre And thanks sir for reply 😊😊😊🙂🙂🙂

[@chanchalafares4527]

Thank you sir