My Math Forum

My Math Forum (http://mymathforum.com/math-forums.php)
-   Abstract Algebra (http://mymathforum.com/abstract-algebra/)
-   -   Ideal (http://mymathforum.com/abstract-algebra/10224-ideal.html)

HairOnABiscuit December 9th, 2009 06:04 AM

Ideal
 
Let A and B be ideals of a ring R. Prove that

(a) is an ideal of R
(b) is an ideal of R

cknapp December 9th, 2009 06:25 AM

Re: Ideal
 
Check what happens if you multiply r (an arbitrary ring element) by an element of or an element of A+B.

HairOnABiscuit December 12th, 2009 06:46 AM

Re: Ideal
 
Ok for part a) i need to show using and .

Proof: let and , . How do i go form here to show that and ?

mAraujo December 12th, 2009 01:11 PM

Re: Ideal
 
Quote:

Originally Posted by HairOnABiscuit
How do i go form here to show that and ?

remember A and B are ideals of R.


All times are GMT -8. The time now is 11:48 AM.

Copyright © 2019 My Math Forum. All rights reserved.