Unlock Code - AnushaJ | Plus Educator | Assistant Professor | 5 years Teaching experience | Telegram Channel - MATHSQUARE

Anusha Jain

In this course we will cover all the topics of Ring Theory of modern Algebra according to CSIR NET JRF and GATE ME Syllabus. Each and every point is well explained from basics so it can be beneficial for you.

Crack CSIR NET by studying MATHEMATICS, PHYSICS, LIFE SCIENCE, CHEMISTRY, EARTH SCIENCE on one online platform. Everything you need to crack JRF.

CSIR-UGC NET

Hindi

(Hindi) Ring Theory - Pure Mathematics for CSIR NET : Part-4

Fundamental Theory of Arithmetic

Algebra

Mathematical Sciences

NET Exams

Ace the toughest competitive and government exams in India 

Test Preparation

In this lesson, we will discuss overview of the course.

Course Overview (in Hindi)

In this lesson I have listed down names of the topics of 'Ring theory' i am going to cover.

Course Flow (in Hindi)

In this lesson we will cover Introduction of Ring and also study on Commutative Ring with some Examples.

Introduction of Ring (in Hindi)

In this lesson, we will study on some definitions as ,
Ring with unity,
Boolean Ring,
Zero Divisor,
Subring.

Important Definitions (in Hindi)

This lesson deals with 'Integral Domain' and and also we will solve some questions related to the same in same lesson.

Integral Domain (in Hindi)

In this lesson, we will discuss Idempotent elements and Nilpotent Elements and will also solve some problems related to the same.

Idempotent Element & Nilpotent Element (In Hindi)

In this lesson, we will discuss about Field and Subfield.

Field & Subfield (In Hindi)

In this video we will discuss about 'Ideals of Ring' and also solve some questions related to the same.

Ideals (In Hindi)

In this video we will study on Maximal Ideal of Ring and also solve some questions related to the same.

Maximal Ideal (In Hindi)

In this video we will study on 'Prime Ideal of Ring' and also solve some questions related to the same.

Prime Ideal (In Hindi)

In this video we will study on 'Factor Ring' and also solve some questions related to the same.

Factor ring: Part-1 (In Hindi)

Factor ring: part-2 (In Hindi)

In this video we will study on 'Characterstic of Ring' and solve some questions related to the same.

Characterstic of Rings (In Hindi)

This video deals with 'Polynomial Ring' .

Polynomial rings ( In Hindi)

In this video we will study on 'Irreducible & reducible polynomial' and solve some questions related to the same.

Irreducible & reducible polynoimal: Part-1 (In Hindi)

In this video we will study on some facts on 'Irreducible & reducible polynomial'.

Irreducible & reducible polynomial part-2 (In Hindi)

Irreducible & reducible Polynomial: part-3 (In Hindi)

Here, we will study on 'Galois field' and learn how to construct galois field.

Galois field (In Hindi)

Here, we will solve some questions to identify maximal & prime ideal with the help of concept of Galois field .

Facts related to Galois field for identify maximal & prime ideal (In Hindi)

Facts related to galois field for identify maximal and prime ideal (In Hindi)

This video is deals with 'Principal Ideal'.

Principal Ideal (In Hindi)

Here we will study on 'prime elements' & 'Irreducible element'.

Prime & Irreducible elements (In Hindi)

In this video we will study on 'Principal ideal domain' and solve some problems related to the same.

Principal ideal domain (In Hindi)

In this video we will study on 'Euclidean Algorithm' and also discuss some Results & problems related to the same.

Euclidean domain (In Hindi)

This video deals with 'Unique Factorization Domain'.

Unique factorization domain (In Hindi)

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Pankaj Kumar

In this course, the educator discusses an intuitive idea of Groups with Examples under Mathematical Sciences helpful for CSIR UGC NET Aspirants.

(Hindi) Groups (Properties and Examples): CSIR UGC NET

This course group theory for CSIR-UGC-NET/JRF with the concepts of Gallian and Dummit Foote has discussed beautifully.

Group Theory

M.Sc Mathematics  (Miranda House, DU).
GATE 2018 Qualified
cleared IIT JAM in 2015
Participated in many ppts. competition and my ppt. at Dep

Rupal Aggarwal

In this course we will be learning group theory where we will understand different concepts and methods to approach a particular problem. Basic focus will be on questions related to CSIR NET and questions related to other exams will also be covered.

(Hindi) Group Theory : CSIR-UGC NET

B.Sc done from rajasthan University | M.Sc mathematics done from Parul University | IIT JAM 2018 cleared | NET JRF with AIR-150

Gaurav Kumar Agrawal

This course covers the Group theory of Abstract Algebra.

(Hindi) Abstract Algebra CSIR-UGC NET JRF Mathematics

mathematics is not only a sub.,
it is also a part of our life,
so every time of life do mathematics and learn mathematics

Ajay Kumar

We shall study subgroups and the various related results and Theorems in this course.  We also study cyclic groups and Theorems  in this course.

Lessons

25 lessons • 5h 18m

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Course Overview (in Hindi)

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Course Flow (in Hindi)

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Introduction of Ring (in Hindi)

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Important Definitions (in Hindi)

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Integral Domain (in Hindi)

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Idempotent Element & Nilpotent Element (In Hindi)

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Field & Subfield (In Hindi)

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Ideals (In Hindi)

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Maximal Ideal (In Hindi)

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Prime Ideal (In Hindi)

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