Thank You for Watching the Video ! Get CSIR NET, IIT JAM, GATE, RPSC Courses, Test Series, Video Lectures, etc on our Mathscare App 👉Android - play.google.com/store/apps/details?id=com.mathscare.app 👉IOS - apps.apple.com/in/app/mathscare/id6467857729 🔹Telegram - telegram.me/mathsbygpsir
Sir aap apni health ka bhi dhyan rakha karo ❤❤ Aapne tto meri nayiya paar laga di Aur zaroorat mando ki bhi madat ho jaye meri yeh he dua hai Kyunki aap ko meine Aaj ek saal baad dekha hai RUclips par aur aap budhe lag rahe ho Bura mat manna magar mujhe esa lagta hai ki engineering mathematics aapse ache aur simple tareeke se tto koi nahi padha sakta RUclips par That's why you are the only one at top
Sir apke help se mai bsc 6th sem mai a gaya hu and ye mera syllabus hai jiska content pure RUclips kahi nhi hai please help😊 UG Semester VI Paper 12: Advanced Algebra Credit: 4 T:04 Course Outcomes: 1. Give the structure of an abelian group of a given order. 2. Construct the splitting field extension of a given polynomial. 3. Understand the interplay of group theory and field theory. 4. Determine the minimal polynomial of an algebraic element. Unit I Series of groups, Schreier theorem, Jordan Holder theorem, solvable groups, Nilpotent groups, Insolvability of Sn for n>5, Unit II Finite Abelian groups, primary decomposition theorem, basis theorem, fundamental theorem of finite Abelian group, elementary divisors and invariant factors, Unit III Field extensions: finite extension, finitely generated extension, algebraic extension, simple extension, transcendental extension, finite field. Unit IV Splitting field, algebraically closed field, normal extension, separable extension, primitive element theorem. Galois theory- Galois group, Galois extension, Fundamental theorem of Galois theory, Artin’s theorem, Fundamental theorem of algebra (Algebraic Proof) References: Text Books: 1. V. Sahai & V. Bist: Algebra, Fourth Edition, Narosa. 2. J. A. Gallian, Contemporary Abstract Algebra, 4th edition, Narosa 3. DJS Robinson, An Introduction to Abstract Algebra, Hindustan Book Agency. Suggested Readings: 4. J. B. Fraleigh: A first course in Abstract algebra, Narosa 5. S. Lang: Algebra, Addison Wesley.
Thank You for Watching the Video !
Get CSIR NET, IIT JAM, GATE, RPSC Courses, Test Series, Video Lectures, etc on our Mathscare App
👉Android - play.google.com/store/apps/details?id=com.mathscare.app
👉IOS - apps.apple.com/in/app/mathscare/id6467857729
🔹Telegram - telegram.me/mathsbygpsir
Sir aap apni health ka bhi dhyan rakha karo ❤❤
Aapne tto meri nayiya paar laga di
Aur zaroorat mando ki bhi madat ho jaye meri yeh he dua hai
Kyunki aap ko meine Aaj ek saal baad dekha hai RUclips par aur aap budhe lag rahe ho
Bura mat manna magar mujhe esa lagta hai ki engineering mathematics aapse ache aur simple tareeke se tto koi nahi padha sakta RUclips par
That's why you are the only one at top
Aap sabki na ye he dikkat hai koi apne uper self par time he nahi deta
Alakh sir ke bhi saare baal ud gaye
Aur pet bhi nikal rakha hai
Sir aap atleast mujhe tto ganje bikul ache nahi lagoge padhate hue
Alakh sir tto phir bhi cute lagte hain
Sir are you joining pw😊
Sir apke help se mai bsc 6th sem mai a gaya hu and ye mera syllabus hai jiska content pure RUclips kahi nhi hai please help😊
UG Semester VI
Paper 12: Advanced Algebra
Credit: 4 T:04
Course Outcomes:
1. Give the structure of an abelian group of a given order.
2. Construct the splitting field extension of a given polynomial.
3. Understand the interplay of group theory and field theory.
4. Determine the minimal polynomial of an algebraic element.
Unit I
Series of groups, Schreier theorem, Jordan Holder theorem, solvable groups,
Nilpotent groups, Insolvability of Sn for n>5,
Unit II
Finite Abelian groups, primary decomposition theorem, basis theorem,
fundamental theorem of finite Abelian group, elementary divisors and
invariant factors,
Unit III
Field extensions: finite extension, finitely generated extension, algebraic
extension, simple extension, transcendental extension, finite field.
Unit IV
Splitting field, algebraically closed field, normal extension, separable
extension, primitive element theorem. Galois theory- Galois group, Galois
extension, Fundamental theorem of Galois theory, Artin’s theorem,
Fundamental theorem of algebra (Algebraic Proof)
References:
Text Books:
1. V. Sahai & V. Bist: Algebra, Fourth Edition, Narosa.
2. J. A. Gallian, Contemporary Abstract Algebra, 4th edition, Narosa
3. DJS Robinson, An Introduction to Abstract Algebra, Hindustan Book
Agency.
Suggested Readings:
4. J. B. Fraleigh: A first course in Abstract algebra, Narosa
5. S. Lang: Algebra, Addison Wesley.
Sir please make a video on rotation group
11:00 how long got seperate? It's wrong ....
Correct me if m wrong
Nice 👍
Kal paper hai😢😂
Thanks sir
Sir bsc 2nd sem bundelkhand University start kijiye matrices and differential equations and geometry
Sir I think you have done q1(balloon one) wrong correct ans is 2.39%
yep i got same as u
Yep correct bro the 1st step itself is wrong log doesn't work like this i.e. it can't distribute on respective terms
sir solution of first question given by you is wrong you have used wrong property of log
@@yatharthjain6610 Ho jaata hai bhai, Samajh toh aa hi gaya hoga concept
B option
Aaj paper hai 10 bje😅