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 mathematical objects like the integers, polynomials, matrices, modular arithmetic, and more. In this video we will take an in depth look at the definition of a rin
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
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
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 It's Made: Class and Championship Rings
Stream Full Episodes of How It's Made: https://www.discoveryplus.com/show/how-its-made Subscribe to Science Channel: http://bit.ly/SubscribeScience Like us on Facebook: https://www.facebook.com/ScienceChannel Follow us on Twitter: https://twitter.com/ScienceChannel Follow us on Instag
From playlist How It's Made
Kiss the Ring | National Geographic
Ringy, true to his nickname, finds a ring and it could have been from Chicago's famous mobster era. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destination for science, exploration, and adventure. Through their world-cl
From playlist Diggers | National Geographic
Abstract Algebra 2.1: Introduction to Rings
In this video, I will introduce rings and basic examples of rings. Translate This Video : http://www.youtube.com/timedtext_video?ref=share&v=jesyk7_ti6Q Notes : None yet Patreon : https://www.patreon.com/user?u=16481182 Teespring : https://teespring.com/stores/fematika Email : fematikaqna
From playlist Abstract Algebra
Commutative algebra 62: Cohen Macaulay local 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. We define Cohen-Macaulay local rings, and give some examples of local rings that are Cohen-Macaualy and some examples that are
From playlist Commutative algebra
Jennifer WILSON - High dimensional cohomology of SL_n(Z) and its principal congruence subgroups 2
Group cohomology of arithmetic groups is ubiquitous in the study of arithmetic K-theory and algebraic number theory. Rationally, SL_n(Z) and its finite index subgroups don't have cohomology above dimension n choose 2. Using Borel-Serre duality, one has access to the high dimensions. Church
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Saturn: Best Rings in the Solar System
I think that nine out of ten people, if you ask them to picture a planet in their minds, will picture Saturn. Why? It's those rings! They are irresistible. Rings are to planets as peanut butter is to chocolate. The perfect complement. But there is much more to Saturn than just its rings. T
From playlist Astronomy/Astrophysics
Jennifer WILSON - High dimensional cohomology of SL_n(Z) and its principal congruence subgroups 3
Group cohomology of arithmetic groups is ubiquitous in the study of arithmetic K-theory and algebraic number theory. Rationally, SL_n(Z) and its finite index subgroups don't have cohomology above dimension n choose 2. Using Borel-Serre duality, one has access to the high dimensions. Church
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
David Zureick-Brown, Moduli spaces and arithmetic statistics
VaNTAGe seminar on March 3, 2020 License: CC-BY-NC-SA Closed captions provided by Andrew Sutherland.
From playlist Class groups of number fields
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
How Vacuum Decay Would Destroy The Universe
Sign Up on Patreon to get access to the Space Time Discord! https://www.patreon.com/pbsspacetime The universe is going to end. But of all the possible ends of the universe vacuum decay would have to be the most thorough - because it could totally rewrite the laws of physics. Today I hope
From playlist The End of The Universe!
Calista Bernard - Applications of twisted homology operations for E_n-algebras
An E_n-algebra is a space equipped with a multiplication that is commutative up to homotopy. Such spaces arise naturally in geometric topology, number theory, and mathematical physics; some examples include classifying spaces of braid groups, spaces of long knots, and classifying spaces of
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Commutative algebra 60: Regular local 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. We define regular local rings as the local rings whose dimension is equal to the dimension of their cotangent space. We give s
From playlist Commutative algebra
Y. André - Perfectoid Cohen-Macaulay rings and homological aspects of commutative algebra...
Y. André - Perfectoid Cohen-Macaulay rings and homological aspects of commutative algebra in mixed characteristic The homological turn in commutative algebra due to Auslander and Serre was pushed forward by Peskine and Szpiro with a systematic use of the Frobenius functor, which led to ti
From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday
What creates a total solar eclipse? - Andy Cohen
View full lesson here: http://ed.ted.com/lessons/what-creates-a-total-solar-eclipse-andy-cohen How can the shadow of the tiny moon eclipse the sight of the gargantuan sun? By sheer coincidence, the disc of the sun is 400x larger than the disc of the moon, but it's 390x farther from Earth
From playlist More TED-Ed Originals
Symphony of the Rings - Linking Rings
With some moves from Jeff McBride and Dan Harlan
From playlist My Magic
Zero dimensional valuations on equicharacteristic (...) - B. Teissier - Workshop 2 - CEB T1 2018
Bernard Teissier (IMJ-PRG) / 06.03.2018 Zero dimensional valuations on equicharacteristic noetherian local domains. A study of those valuations based, in the case where the domain is complete, on the relations between the elements of a minimal system of generators of the value semigroup o
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields