Algebras

Separable algebra

In mathematics, a separable algebra is a kind of semisimple algebra. It is a generalization to associative algebras of the notion of a separable field extension. (Wikipedia).

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Galois theory: Separable extensions

This lecture is part of an online graduate course on Galois theory. We define separable algebraic extensions, and give some examples of separable and non-separable extensions. At the end we briefly discuss purely inseparable extensions.

From playlist Galois theory

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9H The Determinant

Equivalent statements about the determinant.

From playlist Linear Algebra

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9C The Determinant

More on properties of determinant.

From playlist Linear Algebra

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Linear Algebra - Lecture 27 - Subspaces of R^n

This video lecture contains definitions and examples of subspaces of R^n.

From playlist Linear Algebra Lectures

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9G The Determinant

Equaivalent statements about the determinant. Evaluating elementary matrices.

From playlist Linear Algebra

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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

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2 Construction of a Matrix-YouTube sharing.mov

This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.

From playlist Linear Algebra

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The determinant -- Elementary Linear Algebra

This lecture is on Elementary Linear Algebra. For more see http://calculus123.com.

From playlist Elementary Linear Algebra

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Algebra - Ch. 4: Exponents & Scientific Notation (1 of 35) What is an Exponent?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is an exponent. A number or symbol placed above another number or symbol that indicates the power the number or symbol at the bottom is raised. The number at the bottom is called the base

From playlist ALGEBRA CH 4 EXPONENTS AND SCIENTIFIC NOTATION

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Huaxin Lin: "Non-unital Simple Z-absorbing C*-algebras"

Actions of Tensor Categories on C*-algebras 2021 "Non-unital Simple Z-absorbing C*-algebras" Huaxin Lin - University of Oregon Institute for Pure and Applied Mathematics, UCLA January 26, 2021 For more information: https://www.ipam.ucla.edu/atc2021

From playlist Actions of Tensor Categories on C*-algebras 2021

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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

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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

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LC001.05 - Entanglement

Classifies operators on the exterior algebra in terms of creation and annihilation operators, and develops the basics of entanglement in Hilbert spaces. This video is a recording made in a virtual world (https://www.roblox.com/games/6461013759/metauni-Locus-LC001) of a talking board, and

From playlist Metauni

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CERIAS Security: An Algebra for Specifying High-level Security Policies 1/5

Clip 1/5 Speaker: Qihua Wang · Purdue University A high-level security policy states an overall requirement for a sensitive task. One example of a high-level security policy is a separation of duty policy, which requires a sensitive task to be performed by a team of at least k users.

From playlist The CERIAS Security Seminars 2006

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Nijenhuis geometry for ECRs: Pre-recorded Lecture 4

Pre-recorded Lecture 4: Nijenhuis geometry for ECRs Date: 10 February 2022 Lecture slides: https://mathematical-research-institute.sydney.edu.au/wp-content/uploads/2022/02/Prerecorded_Lecture4.pdf ---------------------------------------------------------------------------------------------

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

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Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - Reinhard F. Werner

Reinhard F. Werner (Hannover) / 12.09.17 Title: Alice and Bob and von Neumann Abstract: Alice and Bob stand for the separated labs scenario, a standard setting for many quantum informational tasks, where two labs are not connected by quantum interactions, but are capable of arbitrary loc

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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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

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Schemes 21: Separated morphisms

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne.. We define separated and quasi-separated schemes and morphisms, give a few examples, and show that if a scheme has a separated morphism to an affine scheme the

From playlist Algebraic geometry II: Schemes

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Uri Bader - 1/4 Algebraic Representations of Ergodic Actions

Ergodic Theory is a powerful tool in the study of linear groups. When trying to crystallize its role, emerges the theory of AREAs, that is Algebraic Representations of Ergodic Actions, which provides a categorical framework for various previously studied concepts and methods. Roughly, this

From playlist Uri Bader - Algebraic Representations of Ergodic Actions

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The Lie-algebra of Quaternion algebras and their Lie-subalgebras

In this video we discuss the Lie-algebras of general quaternion algebras over general fields, especially as the Lie-algebra is naturally given for 2x2 representations. The video follows a longer video I previously did on quaternions, but this time I focus on the Lie-algebra operation. I st

From playlist Algebra

Related pages

Semisimple algebra | Associative algebra | Samuel Eilenberg | Étale algebra | Maschke's theorem | Section (category theory) | Bimodule | Perfect field | Separable extension | Projective module | Field extension | Elementary matrix | Group ring | Tensor algebra | Flat module | Ring homomorphism | Order (ring theory) | Frobenius algebra | Symmetric algebra | Finitely generated module | Matrix (mathematics) | Commutative ring