In mathematics, a categorical ring is, roughly, a category equipped with addition and multiplication. In other words, a categorical ring is obtained by replacing the underlying set of a ring by a category. For example, given a ring R, let C be a category whose objects are the elements of the set R and whose morphisms are only the identity morphisms. Then C is a categorical ring. But the point is that one can also consider the situation in which an element of R comes with a "nontrivial automorphism" (cf. Lurie). This line of generalization of a ring eventually leads to the notion of an En-ring. (Wikipedia).

Matrix Multiplication 2x2 Times 2x1 Example

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From playlist Linear Algebra

Determinant of a 2x2 Matrix Short Video

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From playlist Linear Algebra

Matrix multiplication (part 1)

Multiplying two 2x2 matrices. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/multiplying_a_matrix_by_a_matrix?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription

From playlist Linear Algebra

Algebra 2 - Simplifying a complex number by multiplying by i on the top and bottom, 5/i

http://www.freemathvideos.com In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When dividing we will ration

From playlist Complex Numbers

Dividing Complex (Imaginary) Numbers - Algebra 2

http://www.youtube.com/vinteachesmath This video focuses on dividing complex numbers. In particular, this video shows how the concepts of rationalizing the denominator, multiplying binomials, and imaginary numbers are needed to divide complex numbers. This video is appropriate for some

From playlist Algebra 2

Algebra 2 - Multiplying two complex numbers (3-4i) (2+i)

http://www.freemathvideos.com In this video tutorial I show you how to multiply imaginary numbers. We will multiply monomials, binomials and trinomials together and then simplify. It is important when multiplying complex number that we simplify the answer and write in standard complex num

From playlist Complex Numbers

Algebra 2 - When Complex numbers are equal to each other, 5x + 1 + (3 + 2y)i = 2x - 2 + (y - 6)i

http://www.freemathvideos.com presents Intro into complex numbers. In this video playlist I will explain where imaginary and complex numbers come from and how we can use them to help us solve problems. We will also explore the complex property of equality to solve for values of complex nu

From playlist Complex Numbers

Algebra - Finding the Inverse of a Matrix (2 of 2) A 2X2 Matrix - 2 Methods

Visit http://ilectureonline.com for more math and science lectures! In this second of two part lecture series I will show you two methods of how to find the inverse of a 2X2 matrix. The first method is the traditional method; the second method is a "short-cut" method. Check it out! The

From playlist MOST POPULAR VIDEOS

Algebra 2 - Learn how to add two complex numbers by combining like terms, (3 + i) + 2i

http://www.freemathvideos.com In this video playlist you will learn everything you need to know with complex and imaginary numbers (3 + i) + 2i

From playlist Complex Numbers

Visual Group Theory, Lecture 7.1: Basic ring theory

Visual Group Theory, Lecture 7.1: Basic ring theory A ring is an abelian group (R,+) with a second binary operation, multiplication and the distributive law. Multiplication need not commute, nor need there be multiplicative inverses, so a ring is like a field but without these properties.

From playlist Visual Group Theory

Abstract Algebra | Properties and examples of ring homomorphisms.

We present some important properties of ring homomorphisms and give some examples. For instance we prove that 2Z and 3Z are isomorphic as groups but not rings. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

[ANT13] Dedekind domains, integral closure, discriminants... and some other loose ends

In this video, we see an example of how badly this theory can fail in a non-Dedekind domain, and so - regrettably - we finally break our vow of not learning what a Dedekind domain is.

From playlist [ANT] An unorthodox introduction to algebraic number theory

Tau vs Pi Smackdown - Numberphile

Our Pi Playlist (more videos): http://bit.ly/PiPlaylist Steve Mould (tau) and Matt Parker (pi) go head-to-head. More links & stuff in full description below ↓↓↓ See our tau video: http://www.youtube.com/watch?v=83ofi_L6eAo And check our Pi videos: http://www.youtube.com/playlist?list=PL48

From playlist Matt Parker (standupmaths) on Numberphile

Ring Examples (Abstract Algebra)

Rings are one of the key structures in Abstract Algebra. In this video we give lots of examples of rings: infinite rings, finite rings, commutative rings, noncommutative rings and more! Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦

From playlist Abstract Algebra

Ring Theory: We define rings and give many examples. Items under consideration include commutativity and multiplicative inverses. Example include modular integers, square matrices, polynomial rings, quaternions, and adjoins of algebraic and transcendental numbers.

From playlist Abstract Algebra

Visual Group Theory: Lecture 7.4: Divisibility and factorization

Visual Group Theory: Lecture 7.4: Divisibility and factorization The ring of integers have a number of properties that we take for granted: every number can be factored uniquely into primes, and all pairs of numbers have a unique gcd and lcm. In this lecture, we investigate when this happ

From playlist Visual Group Theory

Commutative algebra 26 (Examples of Artinian rings)

This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. In this lecture we give some examples or Artin rings and write them as products of local rings. The examples include some Arti

From playlist Commutative algebra

Organic Chemistry 51B. Lecture 23. Aromaticity.

UCI Chem 51B Organic Chemistry (Winter 2013) Lec 23. Organic Chemistry -- Aromaticity View the complete course: http://ocw.uci.edu/courses/chem_51b_organic_chemistry.html Instructor: David Van Vranken, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci.edu/info. More c

From playlist Chemistry 51B: Organic Chemistry

Definition of a Ring and Examples of Rings

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Ring and Examples of Rings - Definition of a Ring. - Definition of a commutative ring and a ring with identity. - Examples of Rings include: Z, Q, R, C under regular addition and multiplication The Ring of all n x

From playlist Abstract Algebra

How to Subtract Two 2 x 2 Matrices Very Short Video

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From playlist Linear Algebra