Good textbooks for Group,Ring,Field Theory
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This is in reference to this:Good abstract algebra books for self study.
I am an undergraduate student in Mathematics.I have studied Introductory courses in Ring Theory and Group Theory.
I would like to study the following courses:
- Group Action,Stabilisers,Cayleys Theorem,Class Equation,Automorphisms,Direct Products,Solvable Groups,Simple Groups in particular $A_n$.
- Field Theory: Algebraic Extension,Algebraic Closure,Finite Fields.
- Galois Extension,Cyclotomic Extensions ,Solvability of radicals.
- Ring Theory:Euclidean Domain,Principal Ideal Domain,UFD.
I want a book which can be used as a textbook
I checked out the above references which mainly asked to study Dummit Foote.
But I found Dummit & Foote too broad.Its fine as reference though.Lang is quite tough.Artin does not cover all the topics and is more intended towards Geometry.Gallian is nice but cant be used as a textbook.
I want a book like "Bartle and Sherbert of Real Anlaysis" which can be used as a textbook and
What are some
reference-request soft-question online-resources
$endgroup$
add a comment |
$begingroup$
This is in reference to this:Good abstract algebra books for self study.
I am an undergraduate student in Mathematics.I have studied Introductory courses in Ring Theory and Group Theory.
I would like to study the following courses:
- Group Action,Stabilisers,Cayleys Theorem,Class Equation,Automorphisms,Direct Products,Solvable Groups,Simple Groups in particular $A_n$.
- Field Theory: Algebraic Extension,Algebraic Closure,Finite Fields.
- Galois Extension,Cyclotomic Extensions ,Solvability of radicals.
- Ring Theory:Euclidean Domain,Principal Ideal Domain,UFD.
I want a book which can be used as a textbook
I checked out the above references which mainly asked to study Dummit Foote.
But I found Dummit & Foote too broad.Its fine as reference though.Lang is quite tough.Artin does not cover all the topics and is more intended towards Geometry.Gallian is nice but cant be used as a textbook.
I want a book like "Bartle and Sherbert of Real Anlaysis" which can be used as a textbook and
What are some
reference-request soft-question online-resources
$endgroup$
$begingroup$
Try Herstein's "Topics in Algebra" as suggested in the comments section of the question referred to in your link.
$endgroup$
– John Douma
Dec 31 '18 at 9:21
1
$begingroup$
You can try Aluffi’s “Algebra, Chapter 0”.
$endgroup$
– Aurel
Dec 31 '18 at 9:25
$begingroup$
Im starting now the book of Aluffi, it seems better that many other classic texts
$endgroup$
– Masacroso
Dec 31 '18 at 9:46
$begingroup$
Jacobson's Basic Algebra
$endgroup$
– YuiTo Cheng
Jan 1 at 11:41
add a comment |
$begingroup$
This is in reference to this:Good abstract algebra books for self study.
I am an undergraduate student in Mathematics.I have studied Introductory courses in Ring Theory and Group Theory.
I would like to study the following courses:
- Group Action,Stabilisers,Cayleys Theorem,Class Equation,Automorphisms,Direct Products,Solvable Groups,Simple Groups in particular $A_n$.
- Field Theory: Algebraic Extension,Algebraic Closure,Finite Fields.
- Galois Extension,Cyclotomic Extensions ,Solvability of radicals.
- Ring Theory:Euclidean Domain,Principal Ideal Domain,UFD.
I want a book which can be used as a textbook
I checked out the above references which mainly asked to study Dummit Foote.
But I found Dummit & Foote too broad.Its fine as reference though.Lang is quite tough.Artin does not cover all the topics and is more intended towards Geometry.Gallian is nice but cant be used as a textbook.
I want a book like "Bartle and Sherbert of Real Anlaysis" which can be used as a textbook and
What are some
reference-request soft-question online-resources
$endgroup$
This is in reference to this:Good abstract algebra books for self study.
I am an undergraduate student in Mathematics.I have studied Introductory courses in Ring Theory and Group Theory.
I would like to study the following courses:
- Group Action,Stabilisers,Cayleys Theorem,Class Equation,Automorphisms,Direct Products,Solvable Groups,Simple Groups in particular $A_n$.
- Field Theory: Algebraic Extension,Algebraic Closure,Finite Fields.
- Galois Extension,Cyclotomic Extensions ,Solvability of radicals.
- Ring Theory:Euclidean Domain,Principal Ideal Domain,UFD.
I want a book which can be used as a textbook
I checked out the above references which mainly asked to study Dummit Foote.
But I found Dummit & Foote too broad.Its fine as reference though.Lang is quite tough.Artin does not cover all the topics and is more intended towards Geometry.Gallian is nice but cant be used as a textbook.
I want a book like "Bartle and Sherbert of Real Anlaysis" which can be used as a textbook and
What are some
reference-request soft-question online-resources
reference-request soft-question online-resources
asked Dec 31 '18 at 9:17
user596656
$begingroup$
Try Herstein's "Topics in Algebra" as suggested in the comments section of the question referred to in your link.
$endgroup$
– John Douma
Dec 31 '18 at 9:21
1
$begingroup$
You can try Aluffi’s “Algebra, Chapter 0”.
$endgroup$
– Aurel
Dec 31 '18 at 9:25
$begingroup$
Im starting now the book of Aluffi, it seems better that many other classic texts
$endgroup$
– Masacroso
Dec 31 '18 at 9:46
$begingroup$
Jacobson's Basic Algebra
$endgroup$
– YuiTo Cheng
Jan 1 at 11:41
add a comment |
$begingroup$
Try Herstein's "Topics in Algebra" as suggested in the comments section of the question referred to in your link.
$endgroup$
– John Douma
Dec 31 '18 at 9:21
1
$begingroup$
You can try Aluffi’s “Algebra, Chapter 0”.
$endgroup$
– Aurel
Dec 31 '18 at 9:25
$begingroup$
Im starting now the book of Aluffi, it seems better that many other classic texts
$endgroup$
– Masacroso
Dec 31 '18 at 9:46
$begingroup$
Jacobson's Basic Algebra
$endgroup$
– YuiTo Cheng
Jan 1 at 11:41
$begingroup$
Try Herstein's "Topics in Algebra" as suggested in the comments section of the question referred to in your link.
$endgroup$
– John Douma
Dec 31 '18 at 9:21
$begingroup$
Try Herstein's "Topics in Algebra" as suggested in the comments section of the question referred to in your link.
$endgroup$
– John Douma
Dec 31 '18 at 9:21
1
1
$begingroup$
You can try Aluffi’s “Algebra, Chapter 0”.
$endgroup$
– Aurel
Dec 31 '18 at 9:25
$begingroup$
You can try Aluffi’s “Algebra, Chapter 0”.
$endgroup$
– Aurel
Dec 31 '18 at 9:25
$begingroup$
Im starting now the book of Aluffi, it seems better that many other classic texts
$endgroup$
– Masacroso
Dec 31 '18 at 9:46
$begingroup$
Im starting now the book of Aluffi, it seems better that many other classic texts
$endgroup$
– Masacroso
Dec 31 '18 at 9:46
$begingroup$
Jacobson's Basic Algebra
$endgroup$
– YuiTo Cheng
Jan 1 at 11:41
$begingroup$
Jacobson's Basic Algebra
$endgroup$
– YuiTo Cheng
Jan 1 at 11:41
add a comment |
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$begingroup$
Try Herstein's "Topics in Algebra" as suggested in the comments section of the question referred to in your link.
$endgroup$
– John Douma
Dec 31 '18 at 9:21
1
$begingroup$
You can try Aluffi’s “Algebra, Chapter 0”.
$endgroup$
– Aurel
Dec 31 '18 at 9:25
$begingroup$
Im starting now the book of Aluffi, it seems better that many other classic texts
$endgroup$
– Masacroso
Dec 31 '18 at 9:46
$begingroup$
Jacobson's Basic Algebra
$endgroup$
– YuiTo Cheng
Jan 1 at 11:41