In mathematics, specifically in abstract algebra, a prime element of a commutative ring is an object satisfying certain properties similar to the prime numbers in the integers and to irreducible polynomials. Care should be taken to distinguish prime elements from irreducible elements, a concept which is the same in UFDs but not the same in general. (Wikipedia).
Algebra - Ch. 6: Factoring (4 of 55) What is a Prime Number?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a prime number. A prime number is a positive integer that can only be written as a product of one and itself. Its factors are “1” and itself. To donate: http://www.ilectureonline.com/
From playlist ALGEBRA CH 6 FACTORING
Prime Numbers and their Mysterious Distribution (Prime Number Theorem)
Primes are the building blocks of math. But just how mysterious are they? Our study of prime numbers dates back to the ancient Greeks who first recognized that certain numbers can't be turned into rectangles, or that they can't be factored into any way. Over the years prime numbers have
From playlist Prime Numbers
Interesting Facts About the Last Digits of Prime Numbers
This video explains some interesting facts about the last digits of prime numbers.
From playlist Mathematics General Interest
Prime Factors | Number | Maths | FuseSchool
Prime Factors | Number | Maths | FuseSchool Every single positive number can be broken down into prime factors. Every single positive number has a unique set of prime factors. It’s the fundamental theorem of arithmetic. Prime factors are used in cryptology to keep data safe. In this video
From playlist MATHS: Numbers
This video explains how to determine the prime factorization of a number using a factor tree. http://mathispower4u.yolasite.com/
From playlist Number Sense - Whole Numbers
Prime Factoring - GCSE Mathematics Revision (Foundation)
What are prime numbers? Learn how to find the prime factors of a number and write it as a product of prime factors. ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ https://www.youtube.com/channel/UCf89Gd0FuNUdWv8FlSS7lqQ/join
From playlist Number
What is prime factorization of a number or expression
👉 Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrb
From playlist Prime Factorization
CTNT 2022 - 100 Years of Chebotarev Density (Lecture 2) - by Keith Conrad
This video is part of a mini-course on "100 Years of Chebotarev Density" that was taught during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. More about CTNT: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2022 - 100 Years of Chebotarev Density (by Keith Conrad)
CTNT 2022 - 100 Years of Chebotarev Density (Lecture 1) - by Keith Conrad
This video is part of a mini-course on "100 Years of Chebotarev Density" that was taught during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. More about CTNT: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2022 - 100 Years of Chebotarev Density (by Keith Conrad)
Lie Groups and Lie Algebras: Lesson 21 - Factor Groups (OPTIONAL)
Lie Groups and Lie Algebras: Lesson 21 - Factor Groups (OPTIONAL) This is an elementary group theory review lesson focusing on the definition of a coset, the nature of invariant/normal subgroups and the construction of factor groups. This material will be important when we discuss, eventu
From playlist Lie Groups and Lie Algebras
Ring Theory: As an application of all previous ideas on rings, we determine the primes in the Euclidean domain of Gaussian integers Z[i]. Not only is the answer somewhat elegant, but it contains a beautiful theorem on prime integers due to Fermat. We finish with examples of factorization
From playlist Abstract Algebra
Abstract Algebra | Internal direct product of subgroups.
We give the definition of an internal direct product of subgroups, prove a result, and give some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Fundamentals of Mathematics - Lecture 18 (Prof. Rombach): The Empty Set and Set Operations
course page: https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html worksheets - DZB, Emory videography - Eric Melton, UVM
From playlist Fundamentals of Mathematics
Center of quantum group pt2 - Arun Kannan
Quantum Groups Seminar Topic: Center of quantum group pt2 Speaker: Arun Kannan Affiliation: Massachusetts Institute of Technology Date: February 11, 2021 For more video please visit http://video.ias.edu
From playlist Quantum Groups Seminar
GT20.1. Sylow Theorems - Proofs
Abstract Algebra: We give proofs of the three Sylow Theorems. Techniques include the class equation and group actions on subgroups. U.Reddit course materials available at http://ureddit.com/class/23794/intro-to-group-theory Master list at http://mathdoctorbob.org/UReddit.html
From playlist Abstract Algebra
More Algebraic Geometry - Feb 15, 2021 - Rings and Modules
We explain the basic geometric concepts.
From playlist Course on Rings and Modules (Abstract Algebra 4) [Graduate Course]
From playlist Pre-Algebra/Introductory Algebra