Download Abstract Algebra Study Materials 2020. In this article, we are going to provide Study Notes for the School of Sciences. This subject is very important for B.Sc (Mathematics). This subject covers the topics of Elementary Group Theory, Elementary Ring Theory, Integral Domains, Elementary Ring Theory, etc. Through this article, you can download Unit wise PDFs, Chapters, Topics, and Important Questions. Read the below article, to download the material PDFs.
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Table of Contents
Abstract Algebra Study Materials
|Name of the Subject||Abstract Algebra|
|Category||School of Sciences|
|Useful for||Bachelor of Science|
|Course Type||Under Graduation Courses|
|Article on||Study Materials 2020|
|Study Material Format|
|Download Other Study Materials||Click Here|
Abstract Algebra Study Books
Chapters & Topics
Elementary Group Theory
- Lagrange’s Theorem
- Sets and Functions
Some More Group Theory
- Finite Groups
- Permutation Groups
- Group Homomorphisms
- Normal Subgroups
Elementary Ring Theory
- Ring Homomorphisms
- Subrings and Ideals
Integral Domains and Fields
- Irreducibility and Field Extensions
- Special Integral Domains
- Polynomial Rings
- The Basics
Subject in the Universities
This subject will be useful to the students who are pursuing a Bachelor of Science. The following university students can also download Abstract Algebra study materials :
- Uttarakhand Open University
- University of Calicut
- Pondicherry University
Subject in the Semesters
Abstract Algebra subject will be studied by the students in the following semesters of their respective courses :
- B.Sc Mathematics III Semester
Unit wise PDFs
Download Unit wise PDFs of Abstract Algebra subject :
|Elementary Group Theory||Download|
|Some More Group Theory||Download|
|Elementary Ring Theory||Download|
|Integral Domains and Fields||Download|
We have mentioned some of the important questions of Abstract Algebra subject :
- What is the inverse of f: R -> R: f(x) = x/3?
- In each of the following questions, both f and g are functions from R + R. Define f o g and g o f.
- f(x) = 5x, g(x) = x + 5
- f(x) = 5x, g(x) = x/5
- f(x) = 1 x I, g(x) = x².
- If A x B = ( (7,2), (7, 3). (7,4), (2,2), (2,3), (2,4) ), determine A and B.
- For any subsets A. B, C of a set S, show that
- (A∩B)∩C =A∩(B∩C)
- Let R be a ring with unity 1 and char R =m. Define f : Z + R : f(n) = n. I. Show that f is a homomorphism. What is Kerf?
- Show that. in F is associative, commutative, distributive over +, and [1,1] is the multiplicative identity for F.
- The polynomial x4’+ 4 can be factored into linear factors in Z5 [x]. Find this factorization.
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