# Abstract Algebra Study Materials 2020 – Download Unit wise PDFs & Imp Questions

## 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 PDF Download Other Study Materials Click Here

## Chapters & Topics

Elementary Group Theory

• Lagrange’s Theorem
• Subgroups
• Groups
• Sets and Functions

Some More Group Theory

• Finite Groups
• Permutation Groups
• Group Homomorphisms
• Normal Subgroups

Elementary Ring Theory

Related Posts
• Ring Homomorphisms
• Subrings and Ideals
• Rings

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 :

• IGNOU
• 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

### Important Questions

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)
• (A∩B)∩C =A∩(B∩C)
• A∪(B∩C)=(A∪B)n(A∪C)
• A∩(B∪C)=(A∩B)∪(A∩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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