How many roots does x^2-2 have modulo 8

Assignment Help Algebra
Reference no: EM131027688

Please help with the following problems.

a) If I,J are ideals in a ring R such that I+J=R and R is isomorphic to the product ring (R/I)x(R/J) when IJ=0, describe the idempotents corresponding to this product decomposition;

b) Describe the maximal ideal of RxR where in this case R is the set of real numbers;

c) How many roots does x^2-2 have, modulo 8?

Reference no: EM131027688

Questions Cloud

Accounts receivable for patient care : Compute the percentage of the allowance for doubtful accounts to the accounts and notes receivable for The XYZ Corporation. Compute the percentage of the allowance for doubtful accounts to the accounts receivable for Patient Care.
Write an essay on the legend of the bell witch : Write an essay on "The legend of the Bell Witch" 1817-1821. This short paper is at least three double-spaced pages of text (Times New Roman, font size 12).
Adjustment for accrued salaries : North Slope Realty Co. pays weekly salaries of $7,900 on Friday for a five-day week ending on that day. What is the adjustment at the end of the accounting period, assuming that the period ends (a) on Wednesday, (b) on Thursday? Indicate each acco..
Develop a clear specific sociological research question : Develop a clear, specific, sociological research question that will investigate the relationship between two social phenomena/behaviors/facts. Conceptual and Operational Definitions and Clearly identify the variables in your research question
How many roots does x^2-2 have modulo 8 : Describe the maximal ideal of RxR where in this case R is the set of real numbers;
Wal-mart for state income taxes : Richard and Mary paid property taxes of $2,900 and their home which is assessed at $115,000. Richard had $900 withheld from his pension and $0 from Wal-Mart for state income taxes. Mary did not have any funds withheld from her IRA distribution for..
Weighted average cost of capital : A firm has a total value of $500,000 and debt valued at $300,000. What is the weighted average cost of capital if the after tax cost of debt is 9% and the cost of equity is 14%?
What the term hidden curriculum refers to : First: briefly describe, in your own words, what the term hidden curriculum refers to. This can be just a couple of sentences, but make sure I can tell you understand the concept
Define in your own words the profession of psychology : Define in your own words "the profession of psychology" and "professional practice." Summarize briefly for yourself the main ethical standards appropriate to the practice of Organizational Psychology and Development (OPD)

Reviews

Write a Review

Algebra Questions & Answers

  Solve the linear model

Select five values for x to plug into the linear function, P(x)=10x-7 and prepare a table of values

  Identify the sample and suggest a population

Identify the sample and suggest a population

  Evaluate the ratios

Evaluate the ratios and check are the ratios equivalent.

  Define variables and profit function

Define variables and profit function

  Make a linear equation

Assume you have a lemonade stand, & when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Make an equation for the number of cups you sell as a function of the price you charge. Denote "C"..

  Classify linear and non linear functions

For each of the relationships given below, describe whether you think it is best explained by a linear function or a non-linear function.

  Which of the following are functions

Which of the following are functions?  The two problems, i.e., 1 & 3, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reason for 1, 2, & 3.

  Using venn diagram for solving word problems

Using venn diagram for solving word problems.

  Joint probability density function

The joint probability density function.

  Applications of combination

Applications of combination

  Solving problems using venn diagram

Solving problems using venn diagram.

  Solving problems into equation

Solving problems into equation.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd