In mathematics, a subalgebra is a subset of an algebra, closed under all its operations, and carrying the induced operations. "Algebra", when referring to a structure, often means a vector space or module equipped with an additional bilinear operation. Algebras in universal algebra are far more general: they are a common generalisation of all algebraic structures. "Subalgebra" can refer to either case. (Wikipedia).
An introduction to subtraction, the terms and concepts involved, and subtraction as the opposite of addition. Some example problems are carefully worked and explained. From the Prealgebra course by Derek Owens. This course is available online at http://www.LucidEducation.com.
From playlist Prealgebra Chapter 1 (Complete chapter)
Prealgebra Lecture 4.4: How to Add and Subtract Fractions. Finding LCD.
https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 4.4: How to Add and Subtract Fractions. Finding LCD.
From playlist Prealgebra (Full Length Videos)
Prealgebra Lecture 4.3: How to Multiply and Divide Fractions
https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 4.3: Multiplying and Dividing Fractions
From playlist Prealgebra (Full Length Videos)
Prealgebra Lecture 2.3: Subtracting Integers. How to Change Subtraction to Addition
https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 2.3: Subtracting Integers. How to Change Subtraction to Addition
From playlist Prealgebra (Full Length Videos)
Prealgebra Lecture 1.3: Addition and Subtraction of whole numbers. Perimeter.
https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 1.3: Addition and Subtraction of whole numbers. Perimeter.
From playlist Prealgebra (Full Length Videos)
Prealgebra 1.3b - Words that Indicate Subtraction
Word problems involving subtractions, and how to recognize when subtraction is the appropriate operation to use. From the Prealgebra course by Derek Owens. This course is available online at http://www.LucidEducation.com.
From playlist Prealgebra Chapter 1 (Complete chapter)
Prealgebra Lecture 4.5: Add/Subract Fractions When the Fractions do Not Have a Common Denominator.
https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 4.5: Adding and Subtracting Fractions When the Fractions do Not Initially Have a Common Denominator.
From playlist Prealgebra (Full Length Videos)
https://www.math.ias.edu/files/media/agenda.pdf More videos on http://video.ias.edu
From playlist Mathematics
Xin Li: Cartan subalgebras in C*-algebras
This talk is about the notion of Cartan subalgebras introduced by Renault, based on work of Kumjian. We explain how Cartan algebras build a bridge between dynamical systems and operator algebras, and why this notion might be interesting for the structure theory of C*-algebras as well. The
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Representations of Galois algebras – Vyacheslav Futorny – ICM2018
Lie Theory and Generalizations Invited Lecture 7.3 Representations of Galois algebras Vyacheslav Futorny Abstract: Galois algebras allow an effective study of their representations based on the invariant skew group structure. We will survey their theory including recent results on Gelfan
From playlist Lie Theory and Generalizations
Stefaan Vaes - Classification of regular subalgebras of the hyperfinite II1 factor
I present a joint work with Sorin Popa and Dimitri Shlyakhtenko. We prove that under a natural condition, the regular von Neumann subalgebras B of the hyperfinite II1 factor R are completely classified (up to conjugacy by an automorphism of R) by the associated discrete measured groupoid.
From playlist Groupes, géométrie et analyse : conférence en l'honneur des 60 ans d'Alain Valette
"Gaussian Free Field in beta ensembles and random surfaces" - Alexei Borodin
Alexei Borodin MIT November 4, 2013 For more videos, check out http://www.video.ias.edu
From playlist Mathematics
Prealgebra Lecture 4.1 Part 1: Introduction to Fractions
From playlist Prealgebra Playlist 1
MAST30026 Lecture 16: Stone-Weierstrass theorem (Part 2)
In this lecture I introduced the algebra structure on spaces of real-valued functions, and proved the Stone-Weierstrass theorem about dense subalgebras of this algebra. Lecture notes: http://therisingsea.org/notes/mast30026/lecture16.pdf The class webpage: http://therisingsea.org/post/mas
From playlist MAST30026 Metric and Hilbert spaces
On the structure of quantum Markov semigroups - F. Fagnola - PRACQSYS 2018 - CEB T2 2018
Franco Fagnola (Department of Mathematics, Politecnico di Milano, Italy) / 06.07.2018 On the structure of quantum Markov semigroups We discuss the relationships between the decoherence-free subalgebra and the structure of the fixed point subalgebra of a quantum Markov semigroup on B(h) w
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
Differential Isomorphism and Equivalence of Algebraic Varieties Board at 49:35 Sum_i=1^N 2/(x-phi_i(y,t))^2
From playlist Fall 2017
Oksana Yakimova, Research talk - 30 January 2015
Oksana Yakimova (Universität Jena) - Research talk http://www.crm.sns.it/course/4158/ On symmetric invariants of semi-direct products. Let $\mathfrak g$ be a complex reductive Lie algebra. By the Chevalley restriction theorem, the subalgebra of symmetric invariants $S(\mathfrak g)^{\math
From playlist Lie Theory and Representation Theory - 2015
Prealgebra Lecture 1.6 Part 1: Division of Whole Numbers
From playlist Prealgebra Playlist 1
Prealgebra Lecture 4.5 Part 1: Adding and Subtracting Fractions When the Fractions do Not Initially Have a Common Denominator.
From playlist Prealgebra Playlist 1
The chromatic algebra of 2x2 matrices I | Wild Linear Algebra B 41 | NJ Wildberger
The three-fold symmetry of chromogeometry, involving one Euclidean and two relativistic geometries (blue, red and green), algebraically takes place inside the 2x2 matrices. This is a vector space with a multiplication, which becomes an algebra (associative with identity is included in our
From playlist WildLinAlg: A geometric course in Linear Algebra