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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Course Overview

The Introduction to Commutative Algebra program by Swayam is a twelve-week online course, designed for individuals who want to research areas such as algebraic geometry, commutative algebra, algebraic number theory, etc. It is an AICTE approved FDP curriculum, intended for postgraduate-level students.

Curated by IIT Madras, the Introduction to Commutative Algebra certification syllabus covers crucial topics such as ring homomorphism, prime and maximal ideals, Jacobson radical, module homomorphisms, submodules, and tensor product of modules. The exact properties of the tensor product and Noetherian rings are also a part of this comprehensive course. The Institute’s Professor A. V. Jayanthan will teach this course.

Moreover, the Introduction to Commutative Algebra training requires learners to have the necessary knowledge of linear algebra, basic ring theory, and group theory. Students will receive assignments and study through Swayam’s video lectures during the course. In the end, learners need to pass the final exam and meet all the certifying criteria to obtain their course certificates.

The Highlights

  • Category- Mathematics
  • Twelve-week online program
  • Postgraduate-level course
  • In collaboration with IIT Madras
  • Free learning
  • Course type- Elective
  • Final Proctored Exam
  • NPTEL certificate
  • Online training
  • Assignments

Programme Offerings

  • online programme
  • 12-week training with virtual lectures
  • Final Proctored Test
  • In-curriculum assessments
  • Postgraduate/Undergraduate level
  • Elective online course
  • Digital certificate available

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 1000yesIIT Madras

The Introduction to Commutative Algebra online course is free to study from. However, learners must provide Rs. 1,000 to sit for Swayam’s proctored test.

Introduction to Commutative Algebra fee structure

Online program


Course material


Final exam fee

Rs. 1,000

Eligibility Criteria

Students joining the Introduction to Commutative Algebra online course must know linear algebra, introductory-level ring theory (UFD, ED, PID), and basic group theory. 

Certification qualifying details

Swayam will evaluate students based on their average assignment and term-end test marks. The certificate will be given only if they register, undertake the exam, score >=30/75 in it, and 10/25 or higher in their assignments. 

What you will learn

Mathematical skill

Finishing the entire syllabus of the Introduction to Commutative Algebra training will teach you the following:

  • Rings, ideals, quotients, ring homomorphisms
  • Nilradical and Jacobson’s radical
  • Submodules and quotient modules
  • Tensor product of modules
  • Noetherian rings, Artinian rings

Who it is for

The Introduction to Commutative Algebra program is intended for M Sc and Ph.D. Mathematics students.  

Admission Details

Step 1. Use this to check the ‘Introduction to Commutative Algebra’ course portal-

Step 2. Select ‘Sign-in/Register’.

Step 3. Register on this by providing your details or via your Microsoft/Google/Facebook account. Those with a Swayam ID can use it to log in. 

Step 4. Click ‘send verification code’. 

Step 5. Use the code sent by Swayam to activate your profile and enrol. 

Application Details

Students need to provide a username, email address, and password to register on the Swayam website. Those with a Facebook/Microsoft/Google/Swayam account can use it to register too. Next, the students can join the Introduction to Commutative Algebra training on said date, and start learning.

The Syllabus

Evaluation process

You need to complete all the assignments to finish the Introduction to Commutative Algebra program. Then, you have to register for the final proctored exam, conducted at designated centers. 

Your final score will be a sum of your final exam marks and average assignment score. The latter will be calculated as 25% of the best eight assignments’ average (out of total 12-course assessments). Your exam marking will be 75% of the proctored test score (out of 100). 

If your exam score is >=30/75 and your average assignment score is >=10/25, you will be eligible for the certificate. Failing to fulfill these, you cannot earn the Introduction to Commutative Algebra certification even after gaining >=40/100. 


IIT Madras Frequently Asked Questions (FAQ's)

1: Is the certificate e-verifiable?

Yes, you can verify the certification at

2: What details will the certificate entail?

The certificate will contain the learner’s name, photograph, and score in the final examination with the breakup. It will also include the IIT Madras and NPTEL logo. 

3: Is this a core program?

No, Introduction to Commutative Algebra is an elective course. 

4: Who is this program intended for?

The Introduction to Commutative Algebra program is suited for Ph.D. and M.Sc. Mathematics students.

5: Which university is this program offered by?

IIT Madras has offered the Introduction to Commutative Algebra course. 


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