Let p be a prime in Z; then (p) is a prime ideal. What can be said

Question:

Let p be a prime in Z; then (p) is a prime ideal. What can be said about the relationship of Z_p and the localization Z_(p)?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

See More Books

Question Posted: Apr 15, 2023 03:05 AM

See More Questions

Important Dash Review! The dash (also called an em-dash) can also be used to indicate a pause or break. Rule: Use a dash to show an abrupt thought break in a sentence. Dashes create more of a visual...
Let p be a prime, (a) How many monic quadratic (degree 2) polynomials x2 + bx + c in Zp[x] can we factor into linear factors in Zp[x]? (For example, if p = 5, then the polynomial x2 + 2x + 2 in Z5[x]...
A plank with a mass M = 6.00 kg rides on top of two identical solid cylindrical rollers that have R = 5.00 cm and m = 2.00 kg (Fig. P10.86). The plank is pulled by a constant horizontal force F of...
The chapter emphasizes that two different groups of people in the economy operate simultaneously and independently of each other. Who are these groups, and why is it important to emphasize that they...
Please summarize the text below. Thank you! In my opinion, no, it is immoral to assign a price tag to human lives. A person's life has a lot higher value than money. A cost-benefit analysis cannot be...
Explain in simple terms why an aircraft climbs.
Finding Financial Information Refer to the financial statements of Urban Outfitters in Appendix C at the end of this book. Required: 1. Use the companys balance sheet to determine the amounts in the...
Pierre, a cash basis, unmarried taxpayer, had $3,560 of state income tax withheld during 2023. Also in 2023, Pierre paid $890 that was due when he filed his 2022 state income tax return and made...
Trini Company set the following standard costs per unit for its single product Direct materials (30 pounds @ $5.10 per pound) Direct labor (8 hours @ $14 per hour) Variable overhead (8 hours@ $6 per...
Every nonempty set of elements (possibly infinite) in a commutative principal ideal ring with identity has a greatest common divisor.
If N is the ideal of all nilpotent elements in a commutative ring R (see Exercise 1), then R/ N is a ring with no nonzero nilpotent elements. Data from exercise 1 The set of all nilpotent elements in...
The syn stereochemistry of dibromocarbene cycloaddition was demonstrated in experiments using cis- and trans-2-butene. Give the structure of the product obtained from addition of dibromocarbene to...
complete these python: json_data={"column...
Explain the importance of literacy instruction. Discuss how play is critical in furthering language and literacy development.
What are the three categories of competencies that are used to describe various members of an organization (think 'pilot')? Define each one,
Master Method 4) T(n) = 2T (7) + 1 T(0) = 1 ) Use the master method. Be sure to rewrite 1 as "n^d". 5) T (n) = 2T (7) + n, T(0) = 1 Use the master method 6) T (n) = 2T () + n, T(0) = 1 Use the master...
1. (70 points) A family member named Fred is about to celebrate his 62nd birthday. He has a choice to make concerning Social Security. He can start collecting now at 70% of the full retirement...
Calculate the missing value. Initial value $134.39 Final value Percent change -12
What is an access control list?
1. Answer Problem 6.88 for a binomial distribution with n = 50 and p = .6. 2. Answer Problem 6.89 for a binomial distribution with n = 50 and p = .6. 3. Answer Problem 6.90 for a binomial...
Provide a 95% CI for true mean SBP for this patient? Hypertension A patient who is taking antihypertensive medication is asked by her doctor to record her blood pressure at home to check that it is...
Answer the doctors question given the result in Problem 6.97? Hypertension A patient who is taking antihypertensive medication is asked by her doctor to record her blood pressure at home to check...
Let -6 2-3 5 2-6 43 A = and b = 2 5-6 31 -9 1 -6 2 Define the transformation T : R ->> R by T(x) = Ax. Find a vector x whose image under T is b. x= Is the vector x unique? choose
1. This is how ACL/C-list works. Is there a better (more flexible) way? What could it be? (5) ACL ACL Eventually...... C-L C-List
Consider the function f : B B defined by f(x1, x2, 23, 24, 25) = 1, if x1 + x2 + 3 > 45 where x is considered as a two-digit binary number (e.g., 11 represents the number 3). Construct a Karnaugh map...

Let p be a prime in Z; then (p) is a prime ideal. What can be said

Question:

Step by Step Answer:

Answer Given a prime number p in mathbbZ the ideal generated by p denoted by p is a prime ideal in m...View the full answer

Algebra Graduate Texts In Mathematics 73

Students also viewed these Mathematics questions