Ring Theory Courses and Certifications

Michael Penn

How the Power Set Forms a Ring

Explore how the power set forms a ring in this mathematical demonstration, showcasing set theory principles and algebraic structures.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Abstract Algebra

Explore fundamental concepts of abstract algebra, including groups, rings, fields, and vector spaces, with a focus on definitions, examples, and key theorems.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

NPTEL;  IIT Kanpur

Modern Algebra

Explore fundamental concepts and advanced topics in modern algebra through a comprehensive series of lectures by Prof. Manindra Agrawal, covering key principles and applications.

• YouTube
• 14 hours
• On-Demand
• Free Video

IMSC;  NPTEL

Algebra - I

Comprehensive postgraduate-level algebra course covering groups, rings, modules, and their applications. Ideal for M.Sc and first-year PhD mathematics students seeking a strong foundation in abstract algebra.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

IIT Kanpur;  NPTEL

Modern Algebra

Explore groups and rings in modern algebra, covering fundamental concepts, properties, and applications. Gain essential knowledge for advanced mathematics and teaching careers.

• Swayam
• 8 weeks
• On-Demand
• Free Online Course

Pondicherry University;  CEC

Algebra

Comprehensive exploration of algebraic structures, group theory, and ring theory, providing a strong foundation for advanced mathematics and teaching careers.

• Swayam
• 15 weeks
• On-Demand
• Free Online Course

Algebraic Number Theory

Master advanced number theory concepts, from Diophantine equations to field extensions, exploring algebraic structures, class groups, and L-functions while building expertise in computational methods and proofs.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Dr. Gajendra Purohit

Group Theory

Comprehensive exploration of group theory, covering key concepts from basic definitions to advanced topics like Sylow theorems, ideal for mathematics and engineering students.

• YouTube
• 20 hours
• On-Demand
• Free Video

ICTP Mathematics

Frobenius Maps on the Rings of Invariants

Explore Frobenius maps and their applications to invariant theory, focusing on algebraic structures and group actions in characteristic p.

• YouTube
• 49 minutes
• On-Demand
• Free Video

ICTP Mathematics

50 Years of Mathematics - The Work of Melvin Hochster

Explore the profound impact of Melvin Hochster's contributions to mathematics over five decades, highlighting key breakthroughs and their significance in the field.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

ICTP Mathematics

Uniform Artin-Rees Results - Part 2

Explore advanced concepts in tight closure theory, focusing on uniform Artin-Rees results and their applications in algebraic geometry and commutative algebra.

• YouTube
• 50 minutes
• On-Demand
• Free Video

ICTP Mathematics

An Overview of Tight Closure of Ideals - Part 1

Explore the fundamental concepts and applications of tight closure theory in commutative algebra, focusing on ideals and their properties in ring theory.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

ICTP Mathematics

Direct Summands of Regular Rings - Part 2

Explore advanced concepts in tight closure theory, focusing on direct summands of regular rings and their applications in algebraic geometry and commutative algebra.

• YouTube
• 55 minutes
• On-Demand
• Free Video

ICTP Mathematics

Direct Summands of Regular Rings - Part 3

Explore advanced concepts in tight closure theory, focusing on direct summands of regular rings and their applications in algebraic geometry and commutative algebra.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

The Module Structure of a Group Action on a Ring

Explore finite group actions on graded algebras, examining module multiplicities and their connections to homological algebra and geometric group actions.

• YouTube
• 49 minutes
• On-Demand
• Free Video