This class was created by Brainscape user Henry Tran. Visit their profile to learn more about the creator.
By:
Henry Tran
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Decks in this class (17)
Rings Concepts
Function mapping x y,
Injective,
Surjective
20
cards
Ideals
Ideal,
Ideal test,
Existence of factor rings
14
cards
Binary Operations Concepts
A if is any binary operation on a...,
B if is any commutative binary op...,
C if is any associative binary op...
33
cards
CCE2
Homomorphism,
An isomorphism,
Describe all ring homomorphisms o...
15
cards
Rings PRACTICE
Nz with the usual addition and mu...,
Z with the usual addition and mul...,
Z x z with addition and multiplic...
26
cards
Ideal T or F
Every prime ideal of every commut...,
Every maximal ideal of every comm...,
Q is its own prime subfield
10
cards
IDEAL practice concepts
Find a maximal ideal of z x z,
Find a prime ideal of z x z that ...,
Find a nontrivial proper ideal of...
7
cards
Integral domain T or F
Nz has zero divisors if n is not ...,
Every field is an integral domain,
The characteristic of nz is n
10
cards
Cosets
Cosets,
Add and multiplication of cosets,
Well defined operations
6
cards
Polynomials rings
Polynomials rings,
R x,
The evaluation homomorphisms
4
cards
Modular Arithmetic
Divisibility,
Divison algorithm,
Relatively prime
5
cards
Polynomial And Quotient rings T or F
A q is a field of quotients of z,
R is a field of quotients of z,
R is a field of quotients of r
20
cards
September
Binary operation,
Properties,
Group
25
cards
Pre-midterm Examples
Quivalence relations example,
If 1 xy xz then y z2 yx zx then y z,
Example of rings
7
cards
After Midterm
Definitions ring homomorphism,
A homomorphism from,
If
5
cards
CCE4
What is an irreducible element in...,
What is an irreducible element in...,
What is a principal ideal domain pid
4
cards
More about
Abstract Algebra
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