Units in a Ring (Abstract Algebra)
The units in a ring are those elements which have an inverse under multiplication. They form a group, and this “group of units” is very important in algebraic number theory. Using units you can also define the idea of an “associate” which lets you generalize the fundamental theorem of ar
From playlist Abstract Algebra
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
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
Abstract Algebra | Group of Units modulo n
We sketch a proof that the equivalence classes of integers which are relatively prime to n form a group. This group is called the group of units modulo n. http://www.michael-penn.net
From playlist Abstract Algebra
Intermediate Algebra-Properties of Logarithmic Functions
Intermediate Algebra-Properties of Logarithmic Functions
From playlist Intermediate Algebra
What is the formula for the unit vector
http://www.freemathvideos.com In this video series I will show you how to find the unit vector when given a vector in component form and as a linear combination. A unit vector is simply a vector with the same direction but with a magnitude of 1 and an initial point at the origin. It is i
From playlist Vectors
Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.
From playlist Abstract algebra
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
Benjamin Steinberg: Cartan pairs of algebras
Talk by Benjamin Steinberg in Global Noncommutative Geometry Seminar (Americas), https://globalncgseminar.org/talks/tba-15/ on Oct. 8, 2021
From playlist Global Noncommutative Geometry Seminar (Americas)
Kristin Courtney: Generalized inductive limits with asymptotically order zero maps
Talk by Kristin Courtney in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on March 2, 2021
From playlist Talks of Mathematics Münster's reseachers
Kristin Courtney: C*-structure on images of completely positive order zero maps
Talk by Kristin Courtney in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on September 16, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
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
On the pioneering works of Professor I.B.S. Passi by Sugandha Maheshwari
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation
Gilles Pisier: The lifting property for C*-algebras
Talk by Gilles Pisier in Global Noncommutative Geometry Seminar (Americas) on January 14, 2022 in https://globalncgseminar.org/talks/the-lifting-property-for-c-algebras/
From playlist Global Noncommutative Geometry Seminar (Americas)
Structure of group rings and the group of units of integral group rings (Lecture 2) by Eric Jespers
PROGRAM : GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fun
From playlist Group Algebras, Representations And Computation
Figuring out units from formula | Introduction to algebra | Algebra I | Khan Academy
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/e/working-with-units?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-
From playlist Algebra I | High School Math | Khan Academy
Symmetric Groups (Abstract Algebra)
Symmetric groups are some of the most essential types of finite groups. A symmetric group is the group of permutations on a set. The group of permutations on a set of n-elements is denoted S_n. Symmetric groups capture the history of abstract algebra, provide a wide range of examples in
From playlist Abstract Algebra
Treating units algebraically and dimensional analysis | Algebra I | Khan Academy
Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/figuring-out-units-from-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-a
From playlist Algebra I | High School Math | Khan Academy