Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This is a glossary of some terms of the subject. For the items in commutative algebra (the theory of commutative rings), see glossary of commutative algebra. For ring-theoretic concepts in the language of modules, see also Glossary of module theory. For specific types of algebras, see also: Glossary of field theory and Glossary of Lie groups and Lie algebras. Since, currently, there is no glossary on not-necessarily-associative algebra-structures in general, this glossary includes some concepts that do not need associativity; e.g., a derivation. (Wikipedia).
Ring Theory: We define rings and give many examples. Items under consideration include commutativity and multiplicative inverses. Example include modular integers, square matrices, polynomial rings, quaternions, and adjoins of algebraic and transcendental numbers.
From playlist Abstract Algebra
Definition of a Ring and Examples of Rings
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Ring and Examples of Rings - Definition of a Ring. - Definition of a commutative ring and a ring with identity. - Examples of Rings include: Z, Q, R, C under regular addition and multiplication The Ring of all n x
From playlist Abstract Algebra
Abstract Algebra: The definition of a Ring
Learn the definition of a ring, one of the central objects in abstract algebra. We give several examples to illustrate this concept including matrices and polynomials. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ We recommend th
From playlist Abstract Algebra
Visual Group Theory, Lecture 7.1: Basic ring theory
Visual Group Theory, Lecture 7.1: Basic ring theory A ring is an abelian group (R,+) with a second binary operation, multiplication and the distributive law. Multiplication need not commute, nor need there be multiplicative inverses, so a ring is like a field but without these properties.
From playlist Visual Group Theory
RNT1.4. Ideals and Quotient Rings
Ring Theory: We define ideals in rings as an analogue of normal subgroups in group theory. We give a correspondence between (two-sided) ideals and kernels of homomorphisms using quotient rings. We also state the First Isomorphism Theorem for Rings and give examples.
From playlist Abstract Algebra
Rings and modules 1 Introduction
This lecture is part of an online course on ring theory, at about the level of a first year graduate course or honors undergraduate course. This is the introductory lecture, where we recall some basic definitions and examples, and describe the analogy between groups and rings. For the
From playlist Rings and modules
A Short Course in Algebra and Number Theory - Rings
To supplement a course taught at The University of Queensland's School of Mathematics and Physics I present a very brief summary of algebra and number theory for those students who need to quickly refresh that material or fill in some gaps in their understanding. This is the second lectu
From playlist A Short Course in Algebra and Number Theory
Representations of finite groups of Lie type (Lecture 1) by Dipendra Prasad
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
Bad Math Glossary, or Soviet Propaganda?
A review of "The Algebra Tutor, Algebra 1 and Algebra 2, Volume 1". A textbook/workbook by Willie L. Thomas. It has a great propaganda-esque cover design, and a very finicky glossary to put it nicely. #mathbook #math 00:00 Rest of the Review 19:33 The Bad Glossary 23:00 End Buy a copy o
From playlist The Math Library
003 - Geology In this video Paul Andersen explains how rock is formed and changed on the planet. The video begins with a brief description of rocks, minerals, and the rock cycle. Plate tectonics is used to describe structure near plate boundaries. Hot spots and natural hazards (like vo
From playlist AP Environmental Science
OWASP AppSec USA 2010: OWASP Secure Coding Practices Quick Reference Guide 1/2
Speaker: Keith Turpin, Boeing More information can be found on the OWASP website: http://bit.ly/hY4bqh Source: http://bit.ly/owasp_appsec_us_2010
From playlist OWASP AppSec USA 2010
Algebraic number theory and rings I | Math History | NJ Wildberger
In the 19th century, algebraists started to look at extension fields of the rational numbers as new domains for doing arithmetic. In this way the notion of an abstract ring was born, through the more concrete examples of rings of algebraic integers in number fields. Key examples include
From playlist MathHistory: A course in the History of Mathematics
CS105: Introduction to Computers | 2021 | Lecture 8.1 Introduction to CSS
Patrick Young Computer Science, PhD This course is a survey of Internet technology and the basics of computer hardware. You will learn what computers are and how they work and gain practical experience in the development of websites and an introduction to programming. To follow along wi
From playlist Stanford CS105 - Introduction to Computers Full Course
Worldwide Differential Calculus Reference App
The demo of our new apps on the iPad & iPhone!
From playlist Center of Math ARCHIVES: Watch the good, the bad, and the ugly
Introduction to number theory lecture 29. Rings in number theory
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We show how to write several results in number theory, such as the Chines remainder theorem
From playlist Introduction to number theory (Berkeley Math 115)
My favorite LaTeX packages for writing beautiful math documents
Get started with LaTeX using Overleaf: ►https://www.overleaf.com?utm_source=yt&utm_medium=link&utm_campaign=im22tb Overleaf is an excellent cloud-based LaTeX editor that makes learning and using LaTeX just so much easier. My thanks to Overleaf for sponsoring this video! ►Check out my LaT
From playlist LaTeX Tutorials
Just How Hyped Should You Be About 6G?
In 2019, after years of waiting, 5G wireless networks and devices finally became a reality. So, when are we getting 6G? C’mon, we're bored already. » Subscribe to Seeker! http://bit.ly/subscribeseeker (then hit the little 🔔 icon and select "all.") » Watch more Elements! http://bit.ly/El
From playlist Elements | Seeker
Why Yellowstone Won't Erupt (and Which Volcanoes Will!)
If Yellowstone erupted, it would change life we know it forever. However, scientists believe that Yellowstone isn't actually going to erupt anytime soon. Join Olivia Gordon on a look into Volcanology, and find out what really makes a "Supervolcano" so super. SciShow is supported by Brill
From playlist Uploads
Abstract Algebra | What is a ring?
We give the definition of a ring and present some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Support Stated Clearly on Patreon: https://www.patreon.com/statedclearly Evolution is often considered a complex and controversial topic but it's actually a very simple concept to understand. Watch this short animation to see how evolution works. Share it with your friends on Facebook who
From playlist Genetics and Evolution