My Math Forum  

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

Abstract Algebra Abstract Algebra Math Forum


Thanks Tree4Thanks
Reply
 
LinkBack Thread Tools Display Modes
May 21st, 2018, 11:42 PM   #11
Senior Member
 
Joined: Jun 2015
From: England

Posts: 844
Thanks: 252

Quote:
Originally Posted by cjem View Post
This would suggest the zero ring (the ring with just one element) is a field, which we usually don't want. Some equivalent ways to get around this: 1) define a field to be a commutative ring such that the non-zero elements form a group under multiplication; 2) repeat what you said, but add "non-zero" after "commutative".
See my comment on UK v US usage above.
studiot is offline  
 
May 21st, 2018, 11:44 PM   #12
Senior Member
 
Joined: Aug 2012

Posts: 1,971
Thanks: 550

Quote:
Originally Posted by studiot View Post
See my comment on UK v US usage above.
You didn't make a comment. You posted an image from an unnamed source that referred to UK usage but didn't distinguish it from any other country's usage. In case I missed your point or you forgot to make it, can you say what you think the difference is?
Maschke is offline  
Reply

  My Math Forum > College Math Forum > Abstract Algebra

Tags
field or ring



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
field-ring shaharhada Abstract Algebra 3 July 1st, 2017 10:17 AM
ring vs. field shaharhada Abstract Algebra 2 October 23rd, 2016 03:35 AM
ring and field shaharhada Linear Algebra 3 July 18th, 2015 07:50 AM
factor ring of a field tinynerdi Abstract Algebra 5 May 16th, 2010 11:42 AM
question on matrix ring over a field xixi Abstract Algebra 0 January 30th, 2010 08:21 AM





Copyright © 2018 My Math Forum. All rights reserved.