Abstract algebra | Mathematical terminology

Left and right (algebra)

In algebra, the terms left and right denote the order of a binary operation (usually, but not always, called "multiplication") in non-commutative algebraic structures.A binary operation ∗ is usually written in the infix form: s ∗ t The argument s is placed on the left side, and the argument t is on the right side. Even if the symbol of the operation is omitted, the order of s and t does matter (unless ∗ is commutative). A two-sided property is fulfilled on both sides. A one-sided property is related to one (unspecified) of two sides. Although the terms are similar, left–right distinction in algebraic parlance is not related either to left and right limits in calculus, or to left and right in geometry. (Wikipedia).

Video thumbnail

Algebra - Ch. 1: Linear Equation (2 of 21) Addition/Subtraction Property

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the Addition/Subtraction Property: The left side still equals the right side if we ADD (or SUBTRACT) the same amount to both sides. Next video in this series can be seen at: https://youtu.be/

From playlist ALGEBRA CH 1 LINEAR EQUATIONS

Video thumbnail

Algebra - Ch. 1: Linear Equation (4 of 21) Multiplication/Division Property

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the Multiplication/Division Property: The left side still equals the right side if we MULTIPLY (or DIVIDE) the same amount to both sides. Next video in this series can be seen at: https://you

From playlist ALGEBRA CH 1 LINEAR EQUATIONS

Video thumbnail

22 Combinations of binary operations

The left- and right distributive properties of the combination of binary operations.

From playlist Abstract algebra

Video thumbnail

Algebra - Solving Linear Equations With One Variable - (1 of 6)

Visit http://ilectureonline.com for more lectures on math and science! Solving equations is the first step in your foray into every science and will unlock a future of discovery into the math and sciences! This series of lectures will help you make your way through your Algebra 1 journey

From playlist ALGEBRA 1 and 2 - SOLVING LINEAR EQUATIONS WITH ONE VARIABLE

Video thumbnail

did you see the algebra mistake?

Did you see the algebra mistake while I was solving this linear equation? #algebra Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo 💪 Support this channel, https://www.patreon.com/blackpenredpen 🛍 Shop math t-shirt & hoodies: http://bit.ly/bprpmerch. (10% off with the

From playlist Algebra | math for fun

Video thumbnail

8 Row and Column Views of a Matrix

The row and column view of a system of linear equations, as well as the matrix as a mathematical object.

From playlist Linear Algebra

Video thumbnail

Pre-recorded lecture 9: Homogeneous linear Nijenhuis operators and left-symmetric algebras

MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems Pre-recorded lecture: These lectures were recorded as part of a cooperation between the Chinese-Russian Mathematical Center (Beijing) and the Moscow Center of Fundamental and Applied Mathematics (Moscow). Nijenhuis Geomet

From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry companion lectures (Sino-Russian Mathematical Centre)

Video thumbnail

Intermediate Algebra Lecture 11.5 Part 2

Intermediate Algebra Lecture 11.5 Part 2: Sketching Graphs of Quadratic Functions

From playlist Intermediate Algebra Playlist 1

Video thumbnail

Nijenhuis Geometry Chair's Talk 2 (Alexey Bolsinov)

SMRI -MATRIX Symposium: Nijenhuis Geometry and Integrable Systems Chair's Talk 2 (Alexey Bolsinov) 8 February 2022 ---------------------------------------------------------------------------------------------------------------------- SMRI-MATRIX Joint Symposium, 7 – 18 February 2022 Week

From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems

Video thumbnail

Lecture 7: Hochschild homology in ∞-categories

In this video, we construct Hochschild homology in an arbitrary symmetric-monoidal ∞-category. The most important special case is the ∞-category of spectra, in which we get Topological Hochschild homology. Feel free to post comments and questions at our public forum at https://www.uni-mu

From playlist Topological Cyclic Homology

Video thumbnail

Want to UNDERSTAND Equations? You better know these concepts ….

TabletClass Math: https://tcmathacademy.com/ Math help with algebra equations to include what is an equation, what is the solution to an equation and the steps to solve an equation. For more math help to include math lessons, practice problems and math tutorials check out my full math h

From playlist GED Prep Videos

Video thumbnail

Hecke Endomorphism Algebras, Stratification, finite groups of Lie type, and ı-quantum algebras

Recorded for UVa Conference Presented by Jie Du (joint work with B. Marshall and L. Scott)

From playlist Pure seminars

Video thumbnail

L. Boyle: Non-commutative geometry, non-associative geometry, and the std. model of particle physics

Connes' notion of non-commutative geometry (NCG) generalizes Riemannian geometry and yields a striking reinterepretation of the standard model of particle physics, coupled to Einstein gravity. We suggest a simple reformulation with two key mathematical advantages: (i) it unifies many of t

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

Video thumbnail

Jesse Peterson: Von Neumann algebras and lattices in higher-rank groups, Lecture 1

Mini course of the conference YMC*A, August 2021, University of Münster. Lecture 1: Background on von Neumann algebras. Abstract: We’ll briskly review basic properties of semi-finite von Neumann algebras. The standard representation, completely positive maps, group von Neumann algebras, th

From playlist YMC*A 2021

Video thumbnail

Matthew Hastings - Introduction to Quantum Cellular Automata - IPAM at UCLA

Recorded 01 September 2021. Matthew Hastings of Microsoft Research presents "Introduction to Quantum Cellular Automata" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. Learn more online at: http://www.ipam.ucla.edu/programs/summer-schools/graduate-summer-scho

From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter

Video thumbnail

Cyril Demarche: Cohomological obstructions to local-global principles - lecture 4

Hasse proved that for quadrics the existence of rational points reduces to the existence of solutions over local fields. In many cases, cohomological constructions provide obstructions to such a local to global principle. The objective of these lectures is to give an introduction to these

From playlist Algebraic and Complex Geometry

Video thumbnail

QED Prerequisites Geometric Algebra 26 The Lorentz Group

In this lesson we connect the idea of using rotors to transform multivectors with the notion of the Lorentz group. Please consider supporting this channel on Patreon: https://www.patreon.com/XYLYXYLYX The software I usually use to produce the lectures is: https://apps.apple.com/us/app

From playlist QED- Prerequisite Topics

Video thumbnail

What’s the difference of two squares?

This is a short animation showing one way to think of the difference of squares formula (at least when the two numbers involved are positive). #manim #math #proofwithoutwords #visualproof

From playlist Algebra

Related pages

One-sided limit | Algebraic structure | Subring | Ideal (ring theory) | Unary operation | Currying | Identity element | Identity function | Operator (mathematics) | Bimodule | Algebra | Adjoint functors | Multiplication | Scalar multiplication | Commutative property | Infix notation | Argument of a function | Ring (mathematics) | Category theory | Ring theory | Morphism | Calculus | Parametric family | Orientation (geometry) | Binary operation | Module (mathematics)