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


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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Abstract Algebra Study Materials - Download Study Books PDF

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

Abstract Algebra Study Books

Subject  Download Links 
Abstract Algebra Download 
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

  • 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 :

  • 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 :

Units  Download Links 
Elementary Group Theory Download
Some More Group Theory Download
Elementary Ring Theory Download
Integral Domains and Fields Download

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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