Abstract Algebra Courses and Certifications

Abstract Algebra

Group Multiplication Tables | Cayley Tables (Abstract Algebra).Cosets and Lagrange’s Theorem - The Size of Subgroups.Normal Subgroups and Quotient Groups (aka Factor Groups) - Abstract Algebra.Cyclic Groups ( abstract Algebra)

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Online Course

Abstract Algebra

2 reviews

Dive into abstract algebra with this 10-hour online program, covering topics from sets and mappings to group automorphisms and conjugacy classes.

• YouTube
• 10 hours
• On-Demand
• Free Online Course

Kimberly Brehm

Abstract Algebra

1 review

Dive into Abstract Algebra with Kimberly Brehm's online program, following Joseph Gallian's text. Explore symmetries, groups, and isomorphisms in 2-3 hours.

• YouTube
• 2 hours 30 minutes
• On-Demand
• Free Online Course

Abstract Algebra Integral Domains

The field of fractions of an integral domain. Irreducibles and Primes in Integral Domains. Every PID is a UFD. A PID that is not a Euclidean Domain. Ideals of quotients of PIDs. If D is a PID then D[x] is aUFD.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Online Course

Abstract Algebra - Polynomial Rings

Dive into Abstract Algebra with a focus on Polynomial Rings. Learn about division algorithms, gcd of polynomials, and Eisenstein's criterion in 2-3 hours.

• YouTube
• 2 hours 30 minutes
• On-Demand
• Free Online Course

Michael Penn

Abstract Algebra - Ideals of Quotients of PIDs

Explore the principles of Abstract Algebra with Michael Penn in less than an hour. Understand how every ideal of a quotient of a principal ideal domain is also principal.

• YouTube
• 24 minutes
• On-Demand
• Free Online Course

Michael Penn

Abstract Algebra - A PID That Is Not a Euclidean Domain

Explore the intricacies of a principal ideal domain that isn't a Euclidean domain with Michael Penn. Understand Dedekind-Hasse Norms and universal side divisors in under an hour.

• YouTube
• 37 minutes
• On-Demand
• Free Online Course

Michael Penn

Abstract Algebra - If D is a UFD then D[x] is a UFD

Learn Abstract Algebra with Michael Penn in under an hour. Understand unique factorization domains, Gauss' lemma, and polynomial factorization.

• YouTube
• 26 minutes
• On-Demand
• Free Online Course

Michael Penn

Abstract Algebra - Every PID is a UFD

Learn commutative algebra, ascending chain condition, and Noetherian ring concepts in under an hour with Michael Penn.

• YouTube
• 26 minutes
• On-Demand
• Free Online Course

Michael Penn

Abstract Algebra - The Field of Fractions of an Integral Domain

Learn about the field of fractions of an integral domain with Michael Penn in less than an hour. Understand its construction and examples.

• YouTube
• 30 minutes
• On-Demand
• Free Online Course

Michael Penn

The Number Theory You Need to Learn Abstract Algebra

Learn number theory essentials like the division algorithm, extended Euclidean algorithm, Bezout's Lemma, and congruence modulo n with Michael Penn in under an hour.

• YouTube
• 44 minutes
• On-Demand
• Free Online Course

Michael Penn

Abstract Algebra - Eisenstein's Criterion

Learn Eisenstein's criterion with proof and examples in less than an hour with Michael Penn.

• YouTube
• 23 minutes
• On-Demand
• Free Online Course

Michael Penn

Abstract Algebra - The Division Algorithm for Polynomials

Learn the division algorithm for polynomials in less than an hour with Michael Penn, a renowned mathematician.

• YouTube
• 21 minutes
• On-Demand
• Free Online Course

Michael Penn

Abstract Algebra - Polynomial Rings

Explore the concept of polynomial rings with Michael Penn in less than an hour. Gain insights into integral domains and classic results.

• YouTube
• 21 minutes
• On-Demand
• Free Online Course

Michael Penn

Abstract Algebra - More Ring Theory Examples

Dive deeper into ring theory with Michael Penn's concise study of ideals and homomorphisms in matrix and polynomial rings. Less than 1-hour workload.

• YouTube
• 40 minutes
• On-Demand
• Free Online Course