Commutative algebra | Ideals (ring theory)

Ideal theory

In mathematics, ideal theory is the theory of ideals in commutative rings. While the notion of an ideal exists also for non-commutative rings, a much more substantial theory exists only for commutative rings (and this article therefore only considers ideals in commutative rings.) Throughout the articles, rings refer to commutative rings. See also the article ideal (ring theory) for basic operations such as sum or products of ideals. (Wikipedia).

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B27 Introduction to linear models

Now that we finally now some techniques to solve simple differential equations, let's apply them to some real-world problems.

From playlist Differential Equations

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Intro to Linear Systems: 2 Equations, 2 Unknowns - Dr Chris Tisdell Live Stream

Free ebook http://tinyurl.com/EngMathYT Basic introduction to linear systems. We discuss the case with 2 equations and 2 unknowns. A linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that ar

From playlist Intro to Linear Systems

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C19 Example problem using the superposition principle

Example problem using the superposition approach.

From playlist Differential Equations

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B28 An example problem of a linear model

Here is our first real-world linear problem.

From playlist Differential Equations

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Physics - E&M: Maxwell's Equations (1 of 30) What are the Maxwell equations? Introduction

Visit http://ilectureonline.com for more math and science lectures! In this video I will introduction to Maxwell's equations.

From playlist PHYSICS - ELECTRICITY AND MAGNETISM 3

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Second-order differential equations: how to solve.

Free ebook http://tinyurl.com/EngMathYT A lecture on how to solve second order, ordinary differential equations with constant coefficients and a zero right-hand side (homogeneous). The practical analysis mostly involves examining the roots of the associated quadratic equation (characteris

From playlist Differential equations

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B18 Plane autonomous systems

In this section I introduce plane autonomous systems, which form beautiful and useful vector fields.

From playlist A Second Course in Differential Equations

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A crash course in Algebraic Number Theory

A quick proof of the Prime Ideal Theorem (algebraic analog of the Prime Number Theorem) is presented. In algebraic number theory, the prime ideal theorem is the number field generalization of the prime number theorem. It provides an asymptotic formula for counting the number of prime idea

From playlist Number Theory

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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

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Visual Group Theory, Lecture 7.2: Ideals, quotient rings, and finite fields

Visual Group Theory, Lecture 7.2: Ideals, quotient rings, and finite fields A left (resp., right) ideal of a ring R is a subring that is invariant under left (resp., right) multiplication. Two-sided ideals are those that are both left and right ideals. This is the analogue of normal subgr

From playlist Visual Group Theory

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C53 Introduction to modelling

An introduction to modelling with higher order differential equations.

From playlist Differential Equations

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Social Equality & the Problem of Hierarchy (Jonathan Wolff)

Professor Jonathan Wolff (University of Oxford) gives a talk on Equality and Hierarchy in 2018 as part of The Aristotelian Society. For more information: www.aristoteliansociety.org.uk More Political Philosophy: https://www.youtube.com/playlist?list=PLhP9EhPApKE_O1dkCOqsUke_0QUkX80A- #Ph

From playlist Social & Political Philosophy

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Antonino Iannazzo, Queen Mary University of London

March 3, Antonino Iannazzo, Queen Mary University of London Differential Algebraic Geometry

From playlist Spring 2023 Online Kolchin Seminar in Differential Algebra

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CTNT 2022 - 100 Years of Chebotarev Density (Lecture 1) - by Keith Conrad

This video is part of a mini-course on "100 Years of Chebotarev Density" that was taught during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. More about CTNT: https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2022 - 100 Years of Chebotarev Density (by Keith Conrad)

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Introduction to the category of Adic spaces (Lecture 1) by Utsav Choudhury

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) Eknath

From playlist Perfectoid Spaces 2019

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Elliptic Curves - Lecture 22b - The maximal abelian extension of exponent m unramified outside S

This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/

From playlist An Introduction to the Arithmetic of Elliptic Curves

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Ethics & Existence - George A. Schrader (1961)

Professor George A. Schrader gives an engaging performative defense of ethics as necessarily dialectical. Working dialectically from analytic to continental thought, from Plato to Sartre, Schrader advances the claim that this conception of morality is not condemned to Sartrean bad faith or

From playlist Ethics & Moral Philosophy

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Boris Springborn: Discrete Uniformization and Ideal Hyperbolic Polyhedra

CATS 2021 Online Seminar Boris Springborn, Technical University of Berlin Abstract: This talk will be about two seemingly unrelated problems: 00:46:00 A discrete version of the uniformization problem for piecewise flat surfaces, and 00:35:48 Constructing ideal hyperbolic polyhedra with p

From playlist Computational & Algorithmic Topology (CATS 2021)

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The Theory of Higher Order Differential Equations

MY DIFFERENTIAL EQUATIONS PLAYLIST: ►https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs Previously in my ODE Playlist we've talked about the theory of 1st order or 2nd order differential equati

From playlist Ordinary Differential Equations (ODEs)

Related pages

Radical of an ideal | Dedekind domain | Tight closure | Hilbert's Nullstellensatz | Jacobson ring | Metric space | Coprime integers | Mathematics | Class field theory | Ideal (ring theory) | System of parameters | Fractional ideal | Integral closure of an ideal | Picard group | Ideal class group | Commutative ring