What Is the Name for the Product of Unique Prime Factors?

Elam
Messages
2
Reaction score
0
Is there a name for product of the unique prime factors of a number?
For example, for the number 12, it would be 3x2=6.

Thanks.
 
Physics news on Phys.org

Thread 'Trouble understanding an online solution to an exercise in Dummit & Foote'

##\textbf{Exercise 10}:## I came across the following solution online: Questions: 1. When the author states in "that ring (not sure if he is referring to ##R## or ##R/\mathfrak{p}##, but I am guessing the later) ##x_n x_{n+1}=0## for all odd $n$ and ##x_{n+1}## is invertible, so that ##x_n=0##" 2. How does ##x_nx_{n+1}=0## implies that ##x_{n+1}## is invertible and ##x_n=0##. I mean if the quotient ring ##R/\mathfrak{p}## is an integral domain, and ##x_{n+1}## is invertible then...
View full post »

Thread 'Questions about non existence of GCDs vs (coimages, cokernels)'

The following are taken from the two sources, 1) from this online page and the book An Introduction to Module Theory by: Ibrahim Assem, Flavio U. Coelho. In the Abelian Categories chapter in the module theory text on page 157, right after presenting IV.2.21 Definition, the authors states "Image and coimage may or may not exist, but if they do, then they are unique up to isomorphism (because so are kernels and cokernels). Also in the reference url page above, the authors present two...
View full post »

Thread 'Decomposition into irreps of compact Lie group'

When decomposing a representation ##\rho## of a finite group ##G## into irreducible representations, we can find the number of times the representation contains a particular irrep ##\rho_0## through the character inner product $$ \langle \chi, \chi_0\rangle = \frac{1}{|G|} \sum_{g\in G} \chi(g) \chi_0(g)^*$$ where ##\chi## and ##\chi_0## are the characters of ##\rho## and ##\rho_0##, respectively. Since all group elements in the same conjugacy class have the same characters, this may be...
View full post »

Similar threads

I Localising a non integral domain at a prime
Replies
17
Views
1K
MHB -c5.LCM and Prime Factorization of A,B,C
Replies
3
Views
965
Finding large prime factors (number theory)
Replies
2
Views
1K
B What unique contributions to math did linear algebra make?
Replies
19
Views
3K
I Frequency of prime number gaps according to (p-1)/(p-2)
Replies
2
Views
1K
I Weird Semidirect Product Formula
Replies
3
Views
1K
Show that square root of 3 is an irrational number
Replies
1
Views
2K
MHB Apc.1.1.13 what is the prime factorization of 30,030
Replies
3
Views
1K
I Confused about Gauss's Lemma of Irreducibility
Replies
4
Views
2K
Show that any composite three-digit number must have a prime factor
Replies
9
Views
2K

Hot Threads

Recent Insights

Back
Top