Non-associative algebras | Lie algebras
In abstract algebra, a Valya algebra (or Valentina algebra) is a nonassociative algebra M over a field F whose multiplicative binary operation g satisfies the following axioms: 1. The skew-symmetry condition for all . 2. The Valya identity for all , where k=1,2,...,6, and 3. The bilinear condition for all and . We say that M is a Valya algebra if the commutant of this algebra is a Lie subalgebra. Each Lie algebra is a Valya algebra. There is the following relationship between the commutant-associative algebra and Valentina algebra. The replacement of the multiplication g(A,B) in an algebra M by the operation of commutation [A,B]=g(A,B)-g(B,A), makes it into the algebra . If M is a commutant-associative algebra, then is a Valya algebra. A Valya algebra is a generalization of a Lie algebra. (Wikipedia).
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
What is a Module? (Abstract Algebra)
A module is a generalization of a vector space. You can think of it as a group of vectors with scalars from a ring instead of a field. In this lesson, we introduce the module, give a variety of examples, and talk about the ways in which modules and vector spaces are different from one an
From playlist Abstract Algebra
Rocky Mountain Ruby 2013 Rails: Shadow Facets of Concurrency by Eugene Kalenkovich
Rails is a framework well known for ease of development. This ease is achieved by a lot of 'magic' that happens behind the scenes. One of pitfalls of such magic is a false sense of safety it gives, including sense of safety from concurrency issues for single-threaded environments. You may
From playlist Rocky Mountain Ruby 2013
Jedes Jahr wandern Milliarden von Tieren überall auf der ganzen Welt. Wissenschaftler um Martin Wikelski vom Max-Planck-Institut für Ornithologie in Radolfszell untersuchen, warum Tiere diese oft gefährlichen Wanderungen unternehmen und wie sich Individuen entscheiden, wo und wann zu wande
From playlist Most popular videos
Algebra for Beginners | Basics of Algebra
#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten
From playlist Linear Algebra
Avi, Graphs and Communication - Noga Alon
A Celebration of Mathematics and Computer Science Celebrating Avi Wigderson's 60th Birthday October 5 - 8, 2016 More videos on http://video.ias.edu
From playlist Mathematics
Expansion and parity - Maksym Radziwill
Joint IAS/Princeton University Number Theory Seminar Topic: Expansion and parity Speaker: Maksym Radziwill Affiliation: California Institute of Technology Date: May 13, 2021 For more video please visit https://www.ias.edu/video
From playlist Mathematics
This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.
From playlist Linear algebra: theory and implementation
Field Definition (expanded) - Abstract Algebra
The field is one of the key objects you will learn about in abstract algebra. Fields generalize the real numbers and complex numbers. They are sets with two operations that come with all the features you could wish for: commutativity, inverses, identities, associativity, and more. They
From playlist Abstract Algebra
“Aesthetics and the Progressive: Architecture and the State of the Contemporary” Panel
Panel Discussion: “Aesthetics and the Progressive: Architecture and the State of the Contemporary” Hernan Diaz Alonso (SCI-Arc), Lydia Kallipoliti (Rensselaer Polytechnic Institute), Jason Payne (University of California, Los Angeles), Rhett Russo (Rensselaer Polytechnic Institute) and A
From playlist J. Irwin Miller Symposium “Aesthetic Activism”
DART VII Michael Semenov-Tian-Shansky
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From playlist Differential Algebra and Related Topics VII (2016)
Dihedral Group (Abstract Algebra)
The Dihedral Group is a classic finite group from abstract algebra. It is a non abelian groups (non commutative), and it is the group of symmetries of a regular polygon. This group is easy to work with computationally, and provides a great example of one connection between groups and geo
From playlist Abstract Algebra
Linear Algebra: Projection onto a Subspace
Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/
From playlist Basics: Linear Algebra
8ECM Invited Lecture: Stuart White
From playlist 8ECM Invited Lectures
FIT2.3.3. Algebraic Extensions
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From playlist Abstract Algebra
Kristin Courtney: "The abstract approach to classifying C*-algebras"
Actions of Tensor Categories on C*-algebras 2021 Mini Course: "The abstract approach to classifying C*-algebras" Kristin Courtney - Westfälische Wilhelms-Universität Münster Institute for Pure and Applied Mathematics, UCLA January 21, 2021 For more information: https://www.ipam.ucla.edu
From playlist Actions of Tensor Categories on C*-algebras 2021
Linear Algebra Vignette 1a: Matrix Representation of a Linear Transformation
This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt
From playlist Linear Algebra Vignettes
Title: Differential Varieties with Only Algebraic Images
From playlist Fall 2014