This class was created by Brainscape user Henry Tran. Visit their profile to learn more about the creator.
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Henry Tran
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Decks in this class (19)
Rings Concepts
Function mapping x y 1,
Injective 2,
Surjective 3
20
cards
Ideals
Ideal 1,
Ideal test 2,
Existence of factor rings 3
16
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 1,
An isomorphism 2,
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 3
10
cards
IDEAL practice concepts
Find a maximal ideal of z x z 1,
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 2,
The characteristic of nz is n 3
10
cards
Cosets
Cosets 1,
Add and multiplication of cosets 2,
Well defined operations 3
6
cards
Polynomials rings
Polynomials rings 1,
R x 2,
The evaluation homomorphisms 3
4
cards
Modular Arithmetic
Divisibility 1,
Divison algorithm 2,
Relatively prime 3
5
cards
Polynomial And Quotient rings T or F
A q is a field of quotients of z 1,
R is a field of quotients of z 2,
R is a field of quotients of r 3
20
cards
September
Binary operation 1,
Properties 2,
Group 3
25
cards
September example
Quivalence relations example 1,
If 1 xy xz then y z 2 yx zx then ...,
Example of rings 3
7
cards
After Midterm
Definitions ring homomorphism 1,
A homomorphism from r x a is the ...,
If is homomorphism then or os 3
5
cards
Final
Media 1,
Media 2,
Media 3
10
cards
CHAPTER 0 JOSEPH A. GALLIAN
Well ordering property 1,
Division 2,
Division algorithm 3
24
cards
Chapter 12 Rings
Blank 1
1
cards
Chapter 1 Marlow Anderson
Front 1,
What is the set of natural number...,
What is the set of integers z 3
13
cards
More about
Abstract Algebra
- Class purpose General learning
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