Integral Domains (Abstract Algebra)
Integral Domains are essentially rings without any zero divisors. These are useful structures because zero divisors can cause all sorts of problems. They complicate the process of solving equations, prevent you from cancelling common factors in an equation, etc.
In this lesson we introduce the idea of an integral domain, talk about solving an equation over rings with and without zero divisors, and show how the cancellation property does hold in an integral domain.
Be sure to subscribe so you don't miss new lessons from Socratica:
http://bit.ly/1ixuu9W
♦♦♦♦♦♦♦♦♦♦
We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S
Milne, Algebra Course Notes (available free online)
http://www.jmilne.org/math/CourseNotes/index.html
♦♦♦♦♦♦♦♦♦♦
Ways to support our channel:
► Join our Patreon : https://www.patreon.com/socratica
► Make a one-time PayPal donation: https://www.paypal.me/socratica
► We also accept Bitcoin @ 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9
Thank you!
♦♦♦♦♦♦♦♦♦♦
Connect with us!
Facebook: https://www.facebook.com/SocraticaStudios/
Instagram: https://www.instagram.com/SocraticaStudios/
Twitter: https://twitter.com/Socratica
♦♦♦♦♦♦♦♦♦♦
Teaching Assistant: Liliana de Castro
Written & Directed by Michael Harrison
Produced by Kimberly Hatch Harrison
♦♦♦♦♦♦♦♦♦♦
Видео Integral Domains (Abstract Algebra) канала Socratica
In this lesson we introduce the idea of an integral domain, talk about solving an equation over rings with and without zero divisors, and show how the cancellation property does hold in an integral domain.
Be sure to subscribe so you don't miss new lessons from Socratica:
http://bit.ly/1ixuu9W
♦♦♦♦♦♦♦♦♦♦
We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S
Milne, Algebra Course Notes (available free online)
http://www.jmilne.org/math/CourseNotes/index.html
♦♦♦♦♦♦♦♦♦♦
Ways to support our channel:
► Join our Patreon : https://www.patreon.com/socratica
► Make a one-time PayPal donation: https://www.paypal.me/socratica
► We also accept Bitcoin @ 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9
Thank you!
♦♦♦♦♦♦♦♦♦♦
Connect with us!
Facebook: https://www.facebook.com/SocraticaStudios/
Instagram: https://www.instagram.com/SocraticaStudios/
Twitter: https://twitter.com/Socratica
♦♦♦♦♦♦♦♦♦♦
Teaching Assistant: Liliana de Castro
Written & Directed by Michael Harrison
Produced by Kimberly Hatch Harrison
♦♦♦♦♦♦♦♦♦♦
Видео Integral Domains (Abstract Algebra) канала Socratica
Показать
Комментарии отсутствуют
Информация о видео
Другие видео канала
Field Definition (expanded) - Abstract AlgebraCycle Notation of Permutations - Abstract AlgebraAbstract Algebra 13.1: Integral Domains and FieldsIdeals in Ring Theory (Abstract Algebra)Homomorphisms (Abstract Algebra)What is a Vector Space? (Abstract Algebra)Ring Theory 5: Zero Divisors and Integral DomainsNormal Subgroups and Quotient Groups (aka Factor Groups) - Abstract AlgebraHow to Fight Perfectionism - Study TipsDirect Products of Groups (Abstract Algebra)Cyclic Groups (Abstract Algebra)What is Abstract Algebra? (Modern Algebra)Ring Definition (expanded) - Abstract AlgebraHow to Have a Growth Mindset - Study TipsThe Kernel of a Group Homomorphism – Abstract AlgebraGroup Multiplication Tables | Cayley Tables (Abstract Algebra)Cosets and Lagrange’s Theorem - The Size of Subgroups (Abstract Algebra)Matrix Groups (Abstract Algebra)12 Study Habits to Adopt Now - Study Tips