My Math Forum  

Go Back   My Math Forum > College Math Forum > Abstract Algebra

Abstract Algebra Abstract Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
March 12th, 2011, 12:32 AM   #1
Newbie
 
Joined: Mar 2011

Posts: 3
Thanks: 0

I want answer

let G be a set containing n elements. Find the number of binary operations on G .How many of them are commutative?
I will be grateful to you if you answer this problem. thanks
mahmoud is offline  
 
March 12th, 2011, 01:54 PM   #2
Senior Member
 
Joined: Nov 2010

Posts: 502
Thanks: 0

Re: I want answer

What work have you tried so far?
DLowry is offline  
March 12th, 2011, 04:30 PM   #3
Global Moderator
 
CRGreathouse's Avatar
 
Joined: Nov 2006
From: UTC -5

Posts: 16,046
Thanks: 938

Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms
Re: I want answer

How many binary operations in total?

I'd look at the operation f(x, x) for each of the n elements x, then look at the operation f(x, y) for x not equal to y.
CRGreathouse is offline  
March 13th, 2011, 03:14 AM   #4
Newbie
 
Joined: Mar 2011

Posts: 3
Thanks: 0

Re: I want answer

binary operation is XxX to X where XxX has n square , and X has n elements. Then the number of this binary operation is unknown.
mahmoud is offline  
March 13th, 2011, 12:40 PM   #5
Global Moderator
 
CRGreathouse's Avatar
 
Joined: Nov 2006
From: UTC -5

Posts: 16,046
Thanks: 938

Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms
Re: I want answer

Quote:
Originally Posted by mahmoud
binary operation is XxX to X where XxX has n square , and X has n elements. Then the number of this binary operation is unknown.
How many pairs (x, y) are there in X x X with x = y? How many are there with x ? y?

If you know the value of f(x, x), and you know that f is commutative, does that tell you anything about f(y, z) if y ? x or z ? x?

How about f(x, y) with x ? y... does that tell you anything about f(w, z) with w ? x or z ? y, assuming f is commutative?
CRGreathouse is offline  
Reply

  My Math Forum > College Math Forum > Abstract Algebra

Tags
answer



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
WHat is the answer for this ? saravananr Algebra 1 January 5th, 2013 06:28 AM
numeric entry problem with answer..but I think the answer is rage Algebra 2 September 14th, 2012 09:27 PM
ANSWER PLEASE!!! HELPMEPLEASE Algebra 2 June 1st, 2010 12:15 PM
i need an answer ... mimi Linear Algebra 2 November 30th, 2009 09:43 AM
Please answer for me tobymac Algebra 12 May 23rd, 2009 06:19 PM





Copyright © 2018 My Math Forum. All rights reserved.