In algebra, a prime ideal is a subset of a ring that shares many important properties of a prime number in the ring of integers. The prime ideals for the integers are the sets that contain all the multiples of a given prime number, together with the zero ideal. Primitive ideals are prime, and prime ideals are both primary and semiprime. (Wikipedia).
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
Introduction to prime numbers for GCSE 9-1 maths!
From playlist Prime Numbers, HCF and LCM - GCSE 9-1 Maths
From playlist Pre-Algebra/Introductory Algebra
The Problem With Perfectionism
We aim for perfection without a correct idea of what perfection might demand from us. To strengthen our resolve, we need to improve our picture of what sacrifices any achievement will demand. If you like our films, take a look at our shop (we ship worldwide): https://goo.gl/p8kdj3 Join ou
From playlist SELF
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)
Nonlinear algebra, Lecture 12: "Primary Decomposition ", by Mateusz Michalek and Bernd Sturmfels
This is the twelth lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences.
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
Keith Conrad - Prime Factorization From Euclid to Noether
This talk was part of Number Theory Day 2023, at UConn. More information about the event can be found here: https://alozano.clas.uconn.edu/number-theory-day/
From playlist Number Theory Day
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)
Rings 6 Prime and maximal ideals
This lecture is part of an online course on rings and modules. We discuss prime and maximal ideals of a (commutative) ring, use them to construct the spectrum of a ring, and give a few examples. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj5
From playlist Rings and modules
A crash course in Algebraic Number Theory
A quick proof of the Prime Ideal Theorem (algebraic analog of the Prime Number Theorem) is presented. In algebraic number theory, the prime ideal theorem is the number field generalization of the prime number theorem. It provides an asymptotic formula for counting the number of prime idea
From playlist Number Theory
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]
CTNT 2022 - Algebraic Number Theory (Lecture 2) - by Hanson Smith
This video is part of a mini-course on "Algebraic Number Theory" 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 - Algebraic Number Theory (by Hanson Smith)
MegaFavNumbers :- Evenly Primest Prime 232,222,222,222,233,333,333,222,222,222,222,222,322,222,223
#MegaFavNumber
From playlist MegaFavNumbers