Ring theory

Associated graded ring

In mathematics, the associated graded ring of a ring R with respect to a proper ideal I is the graded ring: . Similarly, if M is a left R-module, then the associated graded module is the graded module over : . (Wikipedia).

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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

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RNT1.1. Definition of Ring

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

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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

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Abstract Algebra | Types of rings.

We define several and give examples of different types of rings which have additional structure. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

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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

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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

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Abstract Algebra | The characteristic of a ring.

We define the characteristic of a ring and give some definitions. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

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Lecture 11: Negative Topological cyclic homology

Correction: In the definition of stable ∞-categories at the very beginning, we forgot the condition that C has a zero object, i.e. the initial and terminal objects agree via the canonical morphism between them. Sorry for the confusion! In this video we define negative topological cyclic h

From playlist Topological Cyclic Homology

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Charles Rezk: Elliptic cohomology and elliptic curves (Part 3)

The lecture was held within the framework of the Felix Klein Lectures at Hausdorff Center for Mathematics on the 8. June 2015

From playlist HIM Lectures 2015

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Relative quantum cohomology and other stories - Sara Tukachinsky

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Relative quantum cohomology and other stories Speaker: Sara Tukachinsky Affiliation: Member, School of Mathematics Date: April 09, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

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LC001.03 - Clifford algebras and matrix factorisations

A brief introduction to Clifford algebras, their universal property, how to construct a Clifford algebra from the Hessian of a quadratic form, and how modules over that Clifford algebra determine matrix factorisations. This video is a recording made in a virtual world (https://www.roblox.

From playlist Metauni

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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

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Algebraic geometry 49: Hilbert polynomials

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives a review of the Hilbert polynomial of a graded module over a graded ring, and classifies integer-valued polynomials.

From playlist Algebraic geometry I: Varieties

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Perfectoid spaces (Lecture 4) by Kiran Kedlaya

PROGRAM PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France

From playlist Perfectoid Spaces 2019

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Derived structures controlling representations - Carl Wang-Erickson

More videos on http://video.ias.edu

From playlist Mathematics

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Lecture 3: Classical Hochschild Homology

In this video, we introduce classical Hochschild homology and discuss the HKR theorem. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://www.uni-muenster.de/IVV5WS/Web

From playlist Topological Cyclic Homology

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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 (two-sided) ideals and kernels of homomorphisms using quotient rings. We also state the First Isomorphism Theorem for Rings and give examples.

From playlist Abstract Algebra

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Landau-Ginzburg - Seminar 6 - Matrix factorisations and geometry

This seminar series is about the bicategory of Landau-Ginzburg models LG, hypersurface singularities and matrix factorisations. In this seminar Rohan Hitchcock defines matrix factorisations and gives some examples, and explains how to extract an algebraic set from a matrix factorisation.

From playlist Metauni

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Markus Reineke - Cohomological Hall Algebras and Motivic Invariants for Quivers 4/4

We motivate, define and study Donaldson-Thomas invariants and Cohomological Hall algebras associated to quivers, relate them to the geometry of moduli spaces of quiver representations and (in special cases) to Gromov-Witten invariants, and discuss the algebraic structure of Cohomological H

From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory

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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

Related pages

Clifford algebra | Filtration (mathematics) | Graded (mathematics) | Integral domain | Degeneration (algebraic geometry) | Local ring | Poincaré–Birkhoff–Witt theorem | Graded ring | Mathematics | Rees algebra | Universal enveloping algebra | Ideal (ring theory) | Noetherian ring | Ring (mathematics) | Module homomorphism | Exterior algebra