# A First Course in Abstract Algebra: Group Theory,Ring Theory

## What you'll learn

- [ Updated (March - 2021) with new Video lectures ] Abstract Algebra - Group Theory and Ring Theory
- Abstract Algebra Group theory with all types of groups, including Sub group, Commutative group, Cyclic Group, Permutation group
- Abstract algebra Ring theory with Zero Divisors, Commutative Ring, Ring with Zero Divisors, Division Ring or Skew Field, Field
- What is Closure Property?
- What is Associative Property?
- What is Identity Property?
- What is Inverse Property?
- What is Commutative Property?
- Function Definition,Domain, Co-domain and Range of function
- Definition of group: When Set is called as Group?
- Definition of Order of the group
- What is Subgroup?
- What does it mean by Commutative group?
- All Theorems Statements on Cyclic Group
- All Theorems Statements on Abilean Group
- Fundamental theorem of Homomorphism
- Quick revision by downloading Handwritten notes and Flash cards
- What is Ring?
- What does it mean by Ring with Unity?
- What is Commutative Ring?
- Definition of Ring with Zero Divisors
- What is Division Ring or Skew Field?
- Ring Theory : What is Field?

## Requirements

- Be able to understand Set definition
- Be able to understand types of numbers

## Description

**Updated (March- 2021) : New Video lectures are added. And also more videos will be uploaded soon. **

**Abstract Algebra | Group Theory | Ring Theory**

**Download Abstract Algebra PDF Book. It helps to understand Group Theory, Linear Algebra, Discrete Mathematics.**

**Dear students,**

Algebra is a university level Math topic.

Set theory plays play key role to understand abstract algebra.

In this course, you will find the lessons on Abstract Algebra - Group Theory and Ring Theory

**In this Abstract Algebra course, we will discuss the following topics:**

*1. Abstract Algebra - Group theory:*

Definition of Binary Operation,

Definition of Group,

Definition of subgroup with example,

Definition of order of the group and order other element in a group,

Definition of commutative Group.

Fundamental theorem of Homomorphism,

Normal Sub Group,

Cosets,

Cyclic Group,

Permutation group

**2. Abstract Algebra - Ring Theory:**

What is Ring?

What does it mean by Ring with Unity?

What is Commutative Ring?

Definition of Ring with Zero Divisors

What is Division Ring or Skew Field?

What is Field?

***Mathematics in my point of view: "Mathematics/ Math: Math is a simply a language. In School grade/Classes, covered Algebra, Trigonometry, Geometry, and Pre calculus. In College, covered Algebra 2,College Algebra, Probability, Statistics, Calculus: Calculus 1,Calculus 2,Calculus 3(Multivariable Calculus like Differential Equations, Engineering Mathematics), And University Math topics are Abstract Algebra, Linear Algebra, Discrete Mathematics, Number Theory, Real Analysis, Complex Analysis, Functional Analysis, Matlab. In Test Prep: SAT, Act, GRE,GMAT,LSAT are with Quantitative Aptitude Section. Application of Math: Engineering, Physics, Science, Computer sciences like in Games development, Programming, Machine learning, Data science".***

Udemy is great platform to learn.

Please, enroll today!

**Abstract Algebra | Group Theory | Ring Theory**

**Download Abstract Algebra PDF Book. It helps to understand Group Theory, Linear Algebra, Discrete Mathematics.**

Thank you

**Kishore Reddy**

## Who this course is for:

- Math majors
- Beginners of Bachelors Degree Students
- College Level Students
- University Level Students
- Anyone who want to learn higher level math
- Any student who want to learn Abstract Algebra
- Any student who want to learn Linear Algebra
- Calculus Students
- Algebra Students
- And any Math student

## Course content

- 00:42What you will learn from this Abstract Algebra course
- 00:07What is Abstract Algebra?
- 00:31Special Notations in Abstract Algebra

## Instructor

*** 10000 plus Students Worldwide. *** *I teach Algebra,Geometry, Calculus 1,Calculus 2,Calculus 3,Abstract Algebra,Linear Algebra, Engineering Mathematics,Differential Equations, Real Analysis, Complex Analysis*

*Hi*,

*Welcome to Udemy.*

*This is Pagadala Kishore Reddy. I am working as Mathematics/Math instructor at udemy*

I teach Mathematics. *My educational qualification is Masters Degree in Math with Computer Science.*

* I am also working as Math lecturer. *

*I do online tutoring having students from many countries. *

*And I create Online Courses on Math*

*More than 10000 students joined in my courses. *

*Thank You. *

I can say that Udemy is a great platform to learn .

* *