How It's Made: Class and Championship Rings
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From playlist How It's Made
Rings and modules 2: Group rings
This lecture is part of an online course on rings and modules. We decribe some examples of rings constructed from groups and monoids, such as group rings and rings of Dirichlet polynomials. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52XDLrm
From playlist Rings and modules
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
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
Now that we have defined and understand quotient groups, we need to look at product groups. In this video I define the product of two groups as well as the group operation, proving that it is indeed a group.
From playlist Abstract algebra
Abstract Algebra: The definition of a Ring
Learn the definition of a ring, one of the central objects in abstract algebra. We give several examples to illustrate this concept including matrices and polynomials. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ We recommend th
From playlist Abstract Algebra
Rings and midules 3: Burnside ring and rings of differential operators
This lecture is part of an online course on rings and modules. We discuss a few assorted examples of rings. The Burnside ring of a group is a ring constructed form the permutation representations. The ring of differentail operators is a ring whose modules are related to differential equat
From playlist Rings and modules
Units in a Ring (Abstract Algebra)
The units in a ring are those elements which have an inverse under multiplication. They form a group, and this “group of units” is very important in algebraic number theory. Using units you can also define the idea of an “associate” which lets you generalize the fundamental theorem of ar
From playlist Abstract Algebra
Rings and modules 1 Introduction
This lecture is part of an online course on ring theory, at about the level of a first year graduate course or honors undergraduate course. This is the introductory lecture, where we recall some basic definitions and examples, and describe the analogy between groups and rings. For the
From playlist Rings and modules
Rings 11 Tensor products of modules
This lecture is part of an online course on rings and modules. We define tensor prducts of modules over more general rings, and give some examples: coproducts of commutative rings, tensors in differential geometry, tensor products of group representations, and tensor products of fields.
From playlist Rings and modules
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
Electrophilic Aromatic Substitution Reactions Made Easy!
This organic chemistry video tutorial provides a basic introduction into electrophilic aromatic substitution reactions. Here is a list of reactions covered in this video: 1. Friedel Crafts Alkylation of Benzene 2. Bromination of Ethylbenzene 3. Aromatic Nitration of Benzene followed b
From playlist New Organic Chemistry Playlist
Giles Gardam - Kaplansky's conjectures
Kaplansky made various related conjectures about group rings, especially for torsion-free groups. For example, the zero divisors conjecture predicts that if K is a field and G is a torsion-free group, then the group ring K[G] has no zero divisors. I will survey what is known about the conj
From playlist Talks of Mathematics Münster's reseachers
Visual Group Theory, Lecture 7.3: Ring homomorphisms
Visual Group Theory, Lecture 7.3: Ring homomorphisms A ring homomorphism is a structure preserving map between rings, which means that f(x+y)=f(x)+f(y) and f(xy)=f(x)f(y) both must hold. The kernel is always a two-sided ideal. There are four isomorphism theorems for rings, which are compl
From playlist Visual Group Theory
By Differential Algebra we mean rings with extra operations. In this video we show how to encode rings with extra operations using birings/affine ring schemes. This video was hacked together. Let me know if you have no idea what I'm talking about. I plan to use this later.
From playlist Birings
What is a Tensor? Lesson 20: Algebraic Structures II - Modules to Algebras
What is a Tensor? Lesson 20: Algebraic Structures II - Modules to Algebras We complete our survey of the basic algebraic structures that appear in the study of general relativity. Also, we develop the important example of the tensor algebra.
From playlist What is a Tensor?
Log Volume Computations - part 0.2 - Total Rings Of Fractions
This is the second part of the prerequisite videos for the log volume computations and is optional for continuing. In this video we explain how to take rings of fractions for reduced but not irreducible rings. We then show that the ring of fractions of a tensor product is the tensor prod
From playlist Log Volume Computations