In mathematics, especially in the field of module theory, the concept of pure submodule provides a generalization of direct summand, a type of particularly well-behaved piece of a module. Pure modules are complementary to flat modules and generalize Prüfer's notion of pure subgroups. While flat modules are those modules which leave short exact sequences exact after tensoring, a pure submodule defines a short exact sequence (known as a pure exact sequence) that remains exact after tensoring with any module. Similarly a flat module is a direct limit of projective modules, and a pure exact sequence is a direct limit of split exact sequences. (Wikipedia).
Pure Substances and Mixtures, Elements & Compounds, Classification of Matter, Chemistry Examples,
This chemistry video tutorial focuses on pure substances and mixtures. It's a subtopic of the classification of matter. Pure substances include elements and compounds where as a mixture is a combination of two or more pure substances. A pure element consist of only one type of atom. A
From playlist New AP & General Chemistry Video Playlist
Ex 2: Subtracting Signed Fractions
This video provides two examples of subtracting signed fractions. Complete Video Library at http://www.mathispower4u.com
From playlist Adding and Subtracting Fractions
Understanding Fractions, Improper Fractions, and Mixed Numbers
Once we know how to divide, we must learn about fractions, because not all divisions will lead to whole number quotients. But there are proper fractions, improper fractions, mixed numbers... what are all these things? Just check this out! Watch the whole Mathematics playlist: http://bit.l
From playlist Mathematics (All Of It)
Yi Wang: The Helton-Howe trace formula on submodules
Talk by Yi Wang in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on August 19, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
Types of Colloids and Their Properties
Earlier we learned that as far as mixtures go, we can have homogeneous solutions, or totally heterogeneous mixtures, where components don't mix. But there are actually intermediary mixtures, where substances mix to some limited degree. Let's learn about colloids as well as suspensions! Wa
From playlist General Chemistry
In the world of chemistry, an "organic" compound is often described as anything with carbon in it, and "organic chemistry" is the study of carbon compounds, but there is actually no single definition of what "organic" means in chemistry, and scientists have been arguing about it for a long
From playlist Uploads
Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 2
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Adding and Subtracting Polynomials
We just learned what polynomials are, but that's not going to be enough! We have to learn how to add, subtract, multiply, and divide them. Let's start with the easy operations, addition and subtraction! Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical Physics Tu
From playlist Algebra 1 & 2
From playlist Abstract Algebra 2
Submodule GB01 Game Boy Cart Reader: Lots of Potential!
Cartridge readers are a common staple among Game Boy enthusiasts. Does a new contender from Submodule have what it takes to stand out? Submodule GB01: https://submodule.co/ ----------------------------------------------------------------------------- Please consider supporting my work
From playlist Tech Reviews
Lecture 17. Isomorphism theorems. Free modules
0:00 0:19 1st isomorphism theorem 1:15 2nd isomorphism theorem 4:56 3rd isomorphism theorem 9:40 Submodules of a quotient module 12:55 Generators 18:34 Finitely generated modules 30:21 Cautionary example: not every submodule of a finitely generated module is finitely generated 33:18 Linea
From playlist Abstract Algebra 2
Notes by Keith Conrad to follow along: https://kconrad.math.uconn.edu/blurbs/linmultialg/modulesoverPID.pdf
From playlist Abstract Algebra 2
Lecture 19. Structure of modules
From playlist Abstract Algebra 2
Jens Hemelaer: Toposes in arithmetic noncommutative geometry
Talk by Jens Hemelaer in Global Noncommutative Geometry Seminar (Americas) on February 5, 2021
From playlist Global Noncommutative Geometry Seminar (Americas)
Determine a Subtraction Problem Modeled on a Number Line
This video explains how to write an subtraction equation from a number line model. http://mathispower4u.com
From playlist Addition and Subtraction of Whole Numbers
Types of Matter: Elements, Compounds, and Mixtures
What's the difference between a physical change and a chemical change? What are elements, compounds, pure substances, and mixtures? So many definitions to learn! Don't worry, Professor Dave will take you through the details. Watch the whole General Chemistry playlist: http://bit.ly/ProfDa
From playlist General Chemistry
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
Addition and Subtraction of Fractions
We know about addition and subtraction, we know about fractions, so let's learn to add and subtract fractions! This is now possible because we know how to find the least common multiple of two numbers, which we will need to do to be able to get the denominators to agree. It's easy! Watch
From playlist Mathematics (All Of It)
Reverse Plane Partitions and Modules for the Preprojective Algebra - Anne Dranowski
Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: Reverse Plane Partitions and Modules for the Preprojective Algebra Speaker: Anne Dranowski Affiliation: Member, School of Mathematics Date: November 19, 2020 For more video please visit http://video.ias.edu
From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory
Homogeneous and Heterogeneous Mixtures Examples, Classification of Matter, Chemistry
This chemistry video tutorial explains the difference between homogeneous and heterogeneous mixtures within the subtopic of the classification of matter. It contains plenty of examples. Homogeneous mixtures have constant composition. Salt water is a homogeneous mixture - it has one visi
From playlist New AP & General Chemistry Video Playlist