Question regarding equivalence relation

Assignment Help Algebra

Reference no: EM13118831

Prove that the equivalence relation modulo m where m is an integer, forms a ring.

Also, does this same equivalence relation form a field and why?

For this proof, you are given that [a]m (m is a subscript) represents an equivalence class modulo m, where m is an integer. We also know that for any two integers, a and b, that

[a]m + [b]m = [a + b]m and

[a]m[b]m = [ab]m

Reference no: EM13118831

Questions Cloud

What is the ph at the equivalence point : 65.50 mL of 0.161 M HF is titrated with 0.1200 M NaOH. What is the pH at the equivalence point.

Abstract algebra proof and equivalence class : Suppose [a]m (m is a subscript) represents an equivalence class modulo m, where m is an integer. Prove that for any two integers a and b that, under multiplication, [a]m[b]m = [ab]m.

Five steps-hypothesis testing-show comparison distribution : Using the .01 level, what should the researcher conclude? Solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution.

How many millimoles of f6p will be in the solution : Assume you incubated 10ml of a solution containing 0.15M G6P overnight at 25 degree C with the enzyme phophoglucose isomerase. How many millimoles of F6P will be in the 10ml solution in the next morning.

Question regarding equivalence relation : Prove that the equivalence relation modulo m where m is an integer, forms a ring. Also, does this same equivalence relation form a field and why?

The theoretical background and hypothesis : The theoretical background and hypothesis and the methodology section and What is the theoretical basis for answering the research question? That is, what are the arguments, given the existing theories, about how you key independent variable "X" i..

Explain how natural selection occurs : Explain how natural selection occurs, using at least three examples from natural populations. include the three factors necessary for selection to operate as well as the environmental conditions causing the selection.

Topics on douglass & whitman spring ''14 : Choose one of the following suggestions to develop in at least five paragraphs. 1) Assume that you are Frederick Douglass, writing to a friend or associate (pick the friend or associate-do some research!) expressing in more informal terms a parti..

Determining integer quantity : June, an owner of a coffee stand, marked down the price of a latte between 7:00 A.M. and 8:00 A.M. from $2.00 a cup. If she grossed $98.69 from the latte sale and we know that she never sells a latte for less than a dollar

User Account

All Pages