report this ad
Random Quiz
Quizzes
Featured
Popular
Type
Ratings
Favorites
Difficulty
Length
Date
Guides
Categories
Overview
Sports
Geography
Music
Movies
Television
Just For Fun
Miscellaneous
History
Literature
Language
Science
Gaming
Entertainment
Religion
Holiday
Quiz Lab
Summary
Popular
Recent
Games to Consider
Editor Picks
Curator Picks
Create
Dashboard
Create a Quiz
Playlist Dashboard
FAQ
Creation Guides
Groups
Popular
Your Groups
Sporcle News
Recent Discussions
Add a New Topic
Achievements
All Badges
Newest
Oldest
Leaderboards
Pub Trivia
Overview
Locations & Scores
Leagues
Theme Nights
Pub Owners
Private Events
Contact
Become a Host
Blog
Announcements
Articles
Badge News
Community
How To
×
Science
/ abstract algebra
Random
Science
or
math
Quiz
Can you name the axioms which define the following objects?
by
mockeldritch
Quiz not verified by Sporcle
Popular Today
US Civil War Sorting Blitz
11,677
Find the US States - No Outlines Minefield
10,382
Are You Smarter Than a College Student? XXXI
7,827
Top Grossing 'A' Movies
6,100
'Harry Potter' Start to Finish
4,971
And more...
plays
Rate 5 stars
Rate 4 stars
Rate 3 stars
Rate 2 stars
Rate 1 star
ADD to PLAYLIST
How to Play
Below are a list of mathematical objects. Can you name the axioms which define them? To avoid repetition only distinct properties qualify.
Also try:
Animals with Q, X, or Z
Challenge
Share
Tweet
Embed
Score
0
/14
ll
Timer
Default Timer
Stopwatch
?
10:00
Play Quiz
Enter axiom:
You got
%
Avg Score
%
Try Again
Share Results
Quiz Stats
Play Another
Group
GxG->G
A*(B*C) = (A*B)*C
for all g in G, g^-1 is in G
for some e and all g in G, e*g = g = g*e
Abelian Group
A*B = B*A
Vector Space
V + V -> V
a * V -> V
(V, +)
S
Ring
0 + r = r for some 0 and any r in R
1 * r = r for some 1 and any r in R
a * (b + c) = a*b + a*c
for all r in R, -r is also in R
Field
for all f in {F-0}, 1/f is in F
report this ad
You're not logged in!
Compare scores with friends on all Sporcle quizzes.
Connect with Facebook
Connect with Google
Sign Up with Email
OR
Log In
Remember Me
Forgot?
Log In
You Might Also Like...
Element per Period/Group
Numbers That Equal 13
Science by the Numbers
(warning: may contain spoilers)
Show Comments
Extras
Report
Nominate
Tags:
math
,
field
,
group
,
ring
Your Account Isn't Verified!
In order to create a playlist on Sporcle, you need to verify the email address you used during registration. Go to your
Sporcle Settings
to finish the process.
report this ad
Go to the Sporcle.com Mobile Site →

## Show Comments