Abstract Algebra

Let’s Have Some Fun with the Abstract Stuff

So you have been looking for abstract algebra stuff online!

This is the perfect place for you if you find yourself in one of the following categories

• You are a home schooling parent looking for algebra support to teach your kid.
• You are a teacher looking for teaching ideas on various algebra topics to make the sessions interesting.
• You are a student who needs some help in understanding the concepts of algebra and may be at times a little help in solving out some specific types of problems.

So what’s all we are covering in this abstract algebra section?

A lot to say in a nut shell.

This is a continuously developing section that will cover a gamut of concepts and their applications all pertaining to the abstract part of algebra.

You can be rest assured about the quality of explanation of the concepts and solutions to specific problems. While writing these sections we target the novices in algebra rather than some math genius. That way the articles will be relevant to the masses and you will have well paced learning sessions.

Now getting back to the question of the topics covered here, have a look at the list below

• Integers
• Functions
• Groups
• Polynomials
• Rings
• Fields
• Structure of groups
• Galois theory
• Unique factorization
• Modules
• Non communicative rings
• Ideal theory of communicative rings

How to use this abstract algebra sections?

There is no hard and fast requirement that you use it in the sequence we mention. You have got absolute freedom and flexibility to use this knowledge bank in any way that is convenient to you.

However you will observe that the lessons, tips and practice exercises are arranged in a particular sequence. The purpose is to get the maximum benefit out of the learining sessions. We have built in a lot of redundancy so that you encounter a particular concept or theorem time and again while working on that chapter.

This way you become more familiar with the concept from an application perspective.

The sections that we have planned for you are mentioned below

• Basic Concpets

This would cover the theory part of the subject. Here you will be introduced to the topic and related theoretical aspects of it.

• Solved Examples

Here you will find a number of solved examples. We will cover a variety of applications of the concepts in this section. You will have step by step explanation for easy understanding.

• Quick Refresher

This section will be an interactive session wherein you will exercise your grey cells on simple questions related to the subject under discussion. This section will carry tips and caveats for you to become familiar with subtle nuances of the subject.

• Unsolved Question

Here you will find a couple of unsolved practice questions relevant to the topic in lines of questions discussed in the solved examples section. Answers will be provided for you to cross check the end results.

Hope you have a lot of fun with our abstract algebra section. And as they say it, learning has to be fun. I would be happy to have your comments on this effort of ours. Please let us know how you find this website. Any suggestions will be seriously considered, so feel free to write to me or my team.