report this ad
play quizzes ad-free
Random Quiz
Quizzes
Popular
Badges
Playlists
Type
Ratings
Favorites
Difficulty
Length
Date
Guides
Categories
Sports
Geography
Music
Movies
Television
Just For Fun
Miscellaneous
History
Literature
Language
Science
Gaming
Entertainment
Religion
Holiday
Quiz Lab
Summary
Popular
Recent
Quizzes to Consider
Editor Picks
Curator Picks
Create
Dashboard
Create a Quiz
Playlist Dashboard
Creation FAQ
Creation Guides
Community
Your Groups
Sporcle News
Recent Discussions
Add a New Topic
Leaderboards
Multiplayer
Showdown
Live 5
Trivia Bingo
Pub Trivia
Locations & Scores
Trivia Leagues
Theme Nights
Pub Owners
Private Events
Become a Host
Blog
Announcements
Articles
Badge News
Community
How To
×
Science Quiz
/ 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 Quizzes Today
Criteria 'B' Cities
25,192
Find the US States - No Outlines Minefield
24,550
Find the US States
14,943
Image Word Wheel V
12,581
MLB Team by M-L-B
11,175
More Quizzes
plays
Quiz Rating Details
Rate 5 stars
Rate 4 stars
Rate 3 stars
Rate 2 stars
Rate 1 star
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:
100 Tiny Animals
Challenge
Share
Tweet
Embed
Score
Numerical Score
Percentage
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
play quizzes ad-free
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...
Math Homework (0-9 x 10-19)
Elements First Letters
4 Minute Math: Roman Style
Simple Math Minefield
report this ad
hide this ad
(warning: may contain spoilers)
Show Comments
Extras
Report
Nominate
Tags:
Math Quiz
,
field
,
group
,
ring
Top Quizzes Today
Score Distribution
report this ad
hide this ad
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 User
Report this user for behavior that violates our
Community Guidelines
.
Details:
Send Report
Go to the Sporcle.com Mobile Site →

## Show Comments