In algebra, a torsion-free module is a module over a ring such that zero is the only element annihilated by a regular element (non zero-divisor) of the ring. In other words, a module is torsion free if its torsion submodule is reduced to its zero element. In integral domains the regular elements of the ring are its nonzero elements, so in this case a torsion-free module is one such that zero is the only element annihilated by some non-zero element of the ring. Some authors work only over integral domains and use this condition as the definition of a torsion-free module, but this does not work well over more general rings, for if the ring contains zero-divisors then the only module satisfying this condition is the zero module. (Wikipedia).
Commutative algebra 45: Torsion free modules
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We finish the survey of types of modules by briefly discussing torsion-free and coprimary modules. We show that flat modules a
From playlist Commutative algebra
Physics - Mechanics: Torsion (11 of 14) Torsion and a Hollow Tube
Visit http://ilectureonline.com for more math and science lectures! In this video I will derive the equation of torque=? of the torsion of a hollow tube. Next video in this series can be found at: https://youtu.be/mQ-wseAfAlc
From playlist PHYSICS 16.6 TORSION
Buy at http://www.shapeways.com/shops/GeometricToy Torus Magic is a transformable torus. This torus object is constructed with many rings,and transforms flat,spherical etc. Also you can turn inside out the torus. Copyright (c) 2014,AkiraNishihara
From playlist 3D printed toys
Physics - Mechanics: Torsion (1 of 14) What is Torsion?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is torsion and the variables associated with twisting of a steel rod. Next video in this series can be found at: https://youtu.be/jlt6Jy59nJs
From playlist PHYSICS 16.6 TORSION
Buy at http://www.shapeways.com/shops/GeometricToy "Torus Magic" can eat another torus.This torus object is constructed with 30 large rings(70mm diameter) and many small rings. Copyright (c) 2015,AkiraNishihara
From playlist 3D printed toys
Module Basics - Feb 17, 2021 - Rings and Modules
In this video we introduce basic notions like "cyclic" modules. This is the starting point for modules over PIDs.
From playlist Course on Rings and Modules (Abstract Algebra 4) [Graduate Course]
Lecture 22. Structure of finitely generated modules over PIDs and applications
Notes by Keith Conrad to follow along: https://kconrad.math.uconn.edu/blurbs/linmultialg/modulesoverPID.pdf
From playlist Abstract Algebra 2
Bettina EICK - Computational group theory, cohomology of groups and topological methods 5
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
Lecture 19. Structure of modules
From playlist Abstract Algebra 2
Commutative algebra 22 Flatness, tensor products, localization
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. In this lecture we introduce flat modules, show that R[1/S] is flat, and show that vanishing, flatness, and exactness are all
From playlist Commutative algebra
A Wiles-Diamond numerical criterion in higher dimensions -Chandrashekhar Khare
Joint IAS/Princeton University Number Theory Seminar Topic: A Wiles-Diamond numerical criterion in higher dimensions Speaker: Chandrashekhar Khare Affiliation: University of California, Los Angeles Date: February 17, 2022 Wiles’s proof of the modularity of (semistable) elliptic curves ov
From playlist Mathematics
Elliptic Curves - Lecture 11 - The Tate module
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Physics - Mechanics: Torsion (9 of 14) The Torsional Pendulum: Another Example
Visit http://ilectureonline.com for more math and science lectures! In this video I will find f=? and T=? of a cable suspending a rod with 2 masses one on each end of the rod. Next video in this series can be found at: https://youtu.be/WGHEXoCGXVY
From playlist PHYSICS 16.6 TORSION
Commutative algebra 38 Survey of module properties
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We give a short survey of some of the properties of modules, in particular free, stably free, Zariski locally free, projectiv
From playlist Commutative algebra
Ralf Meyer: On the classification of group actions on C*-algebras up to equivariant KK-equivalence
Talk by Ralf Meyer in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on November 10, 2020.
From playlist Global Noncommutative Geometry Seminar (Europe)
Buy at http://www.shapeways.com/shops/GeometricToy "Torus Magic" can eat another torus.This torus object is constructed with 30 large rings(70mm diameter) and many small rings. Copyright (c) 2015,AkiraNishihara
From playlist 3D printed toys
Iwasawa theory of the fine Selmer groups of Galois representations by Sujatha Ramdorai
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019