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James Hamblin
Algebraic Structures: Groups, Rings, and Fields

This video covers the definitions for some basic algebraic structures, including groups and rings. I give examples of each and ...

23:42
Algebraic Structures: Groups, Rings, and Fields

229,931 views

8 years ago

Socratica
Ring Definition (expanded) - Abstract Algebra

A ring is a commutative group under addition that has a second operation: multiplication. These generalize a wide variety of ...

6:51
Ring Definition (expanded) - Abstract Algebra

331,890 views

6 years ago

3Blue1Brown
Group theory, abstraction, and the 196,883-dimensional monster

An introduction to group theory (Minor error corrections below) Help fund future projects: https://www.patreon.com/3blue1brown ...

21:58
Group theory, abstraction, and the 196,883-dimensional monster

3,503,980 views

5 years ago

Socratica
Group Definition (expanded) - Abstract Algebra

The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical ...

11:15
Group Definition (expanded) - Abstract Algebra

968,759 views

8 years ago

Vektorfeld
Algebra, Group, Ring, Rng, Field, Monoid, Vector space | Abstract algebra systematized

I'd like to add some good literature to this video, but I couldn't decide what to choose. So if you have good textbooks in mind, ...

9:55
Algebra, Group, Ring, Rng, Field, Monoid, Vector space | Abstract algebra systematized

2,549 views

4 months ago

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Eyesomorphic
The Mathematician's Weapon | An Intro to Category Theory, Abstraction and Algebra

A gentle introduction to the study of category theory and abstract algebra, done from the ground-up by exploring the mathematical ...

22:06
The Mathematician's Weapon | An Intro to Category Theory, Abstraction and Algebra

425,110 views

2 years ago

CryptoClear
Finite Fields in Cryptography: Why and How

Learn about a practical motivation for using finite fields in cryptography, the boring definition, a slightly more fun example with ...

32:08
Finite Fields in Cryptography: Why and How

32,691 views

5 years ago

Math Visualized
Galois Theory Explained Simply

To learn more about various areas of Group Theory: https://en.wikipedia.org/wiki/Group_theory Galois Theory article in ...

14:45
Galois Theory Explained Simply

541,157 views

5 years ago

Cofiber
An Introduction to Group Theory

In this video, we cover the basics of group theory. We start with examples like the dihedral group and the symmetric group.

29:41
An Introduction to Group Theory

17,918 views

10 months ago

Bill Shillito
Introduction to Higher Mathematics - Lecture 16:  Group Theory

Now we leave the world of real analysis and explore abstract algebra, beginning with some beautiful structures called groups that ...

31:59
Introduction to Higher Mathematics - Lecture 16: Group Theory

260,381 views

12 years ago

EpsilonDelta
Why Negative Times Negative is Positive - Definition of Ring | Ring Theory E1

In this video, we introduce a structure in abstract algebra called rings, and prove why negative times negative equals positive in ...

13:11
Why Negative Times Negative is Positive - Definition of Ring | Ring Theory E1

624,529 views

3 years ago

Science Please
An Introduction To Group Theory

I hope you enjoyed this brief introduction to group theory and abstract algebra. If you'd like to learn more about undergraduate ...

10:53
An Introduction To Group Theory

183,229 views

8 years ago

MathDoctorBob
RNT1.4. Ideals and Quotient Rings

Ring Theory: We define ideals in rings as an analogue of normal subgroups in group theory. We give a correspondence between ...

20:47
RNT1.4. Ideals and Quotient Rings

54,191 views

13 years ago

Elliot Nicholson
Fields and Ideals Part 1

In this video we prove some important points about ideals in fields.

18:16
Fields and Ideals Part 1

11,559 views

10 years ago

Introduction to Cryptography by Christof Paar
Lecture 7: Introduction to Galois Fields for the AES by Christof Paar

For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com.

1:30:50
Lecture 7: Introduction to Galois Fields for the AES by Christof Paar

268,721 views

11 years ago

Socratica
Field Definition (expanded) - Abstract Algebra

The field is one of the key objects you will learn about in abstract algebra. Fields generalize the real numbers and complex ...

8:06
Field Definition (expanded) - Abstract Algebra

403,783 views

7 years ago

Elucyda
Groups, Fields and Vector Spaces (Abstract Algebra Definitions)

Link to Quantum Playlist: https://www.youtube.com/playlist?list=PLl0eQOWl7mnWPTQF7lgLWZmb5obvOowVw #vectorspace ...

28:10
Groups, Fields and Vector Spaces (Abstract Algebra Definitions)

25,959 views

3 years ago

Socratica
Ideals in Ring Theory (Abstract Algebra)

An ideal of a ring is the similar to a normal subgroup of a group. Using an ideal, you can partition a ring into cosets, and these ...

11:57
Ideals in Ring Theory (Abstract Algebra)

211,134 views

5 years ago

Neso Academy
Rings, Fields and Finite Fields

Network Security: Rings, Fields, and Finite Fields Topics discussed: 1) Properties that are satisfied for an abelian group to be a ...

13:04
Rings, Fields and Finite Fields

171,118 views

4 years ago

Erin Pearse
1.A.6 Algebraic structures: groups, rings, fields

306.

9:20
1.A.6 Algebraic structures: groups, rings, fields

1,843 views

5 years ago

OnlineTeacher
Network Security and Cryptography: Algebraic Structures Groups, Rings , Fields

Network Security and Cryptography: Algebraic Structures Groups, Rings , Fields.

8:38
Network Security and Cryptography: Algebraic Structures Groups, Rings , Fields

43,043 views

5 years ago

Neso Academy
Group and Abelian Group

Network Security: Group and Abelian Group Topics discussed: 1) The definition of group and abelian group. 2) Properties to be ...

10:44
Group and Abelian Group

260,965 views

4 years ago