Question

Is the set {-1, 0, 1} a ring? A field? Why or why not.

Is the set {-1, 0, 1} a ring? A field? Why or why not.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Is the set of integers a ring? A field? Why or why not.
Is the set of integers a ring? A field? Why or why not.
Suppose that a ring ? is actually a field, like Q or Z17. Show that: (a)...
Suppose that a ring ? is actually a field, like Q or Z17. Show that: (a) The only two ideals possible are <0> and <1>. (b) ? is a principal ideal ring.
Is the set {0, 1, -1} a group for additions? Multiplication? Why or why not?
Is the set {0, 1, -1} a group for additions? Multiplication? Why or why not?
(6) (a) Give an example of a ring with 9 elements which is not a field....
(6) (a) Give an example of a ring with 9 elements which is not a field. Explain your answer. (b) Give an example of a field of 25 elements. Explain why. (c) Find a non-zero polynomial f(x) in Z3[x] such that f(a) = 0 for every a ? Z3. (d) Find the smallest ideal of Q that contains 3/4.
The electric field of a uniformly charged ring centered at the origin and laying on the...
The electric field of a uniformly charged ring centered at the origin and laying on the xy plane is given by E = (Q/4πε0)[ z/(z 2 + a 2)3/2] ˆk, where a is the radius of the ring and Q is its total charge. Show that a small test charge −q (q > 0) with mass m will undergo simple harmonic motion with an angular frequency ω = [qQ/4πε0ma3 ]1/2 for |z|<< a.
A Ring of Current: In Griffiths’ example 5.6 (p. 227), he determines the magnetic field at...
A Ring of Current: In Griffiths’ example 5.6 (p. 227), he determines the magnetic field at a point directly above the center of a circular loop (? = ??̂) of current to be, ?(?) = ?0 ? 2 ?2 (?2 + ?2) 3/2 ̂? (1) where ? is the radius of the current loop, and ? is the distance above the center. (a) Simplify this result for the following two cases. For both cases, your results must still have ?...
Let R be a ring, and set I:={(r,0)|r∈R}. Prove that I is an ideal of R×R,...
Let R be a ring, and set I:={(r,0)|r∈R}. Prove that I is an ideal of R×R, and that (R×R)/I is isomorphism to R.
1. Can someone explain why this set is unbound closed set( -infinity,0 ] obviously, the upper...
1. Can someone explain why this set is unbound closed set( -infinity,0 ] obviously, the upper bound is 0 because of ] but why it is actually unbounded set? Please follow the comment. 2. why open subset can lead us to convergence. I don't understand it. Please give me some example or other theorem to support it
Assume R is a commutitive ring with 1 not equal to zero. Then R is a...
Assume R is a commutitive ring with 1 not equal to zero. Then R is a field iff its only ideals are (0) and R
(a) Let a,b,c be elements of a field F. Prove that if a not= 0, then...
(a) Let a,b,c be elements of a field F. Prove that if a not= 0, then the equation ax+b=c has a unique solution. (b) If R is a commutative ring and x1,x2,...,xn are independent variables over R, prove that R[x σ(1),x σ (2),...,x σ (n)] is isomorphic to R[x1,x2,...,xn] for any permutation σ of the set {1,2,...,n}
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT