Idempotent ring

Assignment Help Mathematics
Reference no: EM13126383

In a ring R, an idempotent is an element x ? R such that x * x = x (where * denotes the ring multiplication). Show that if R is an integral domain, then R has exactly two idempotent elements.

Reference no: EM13126383

Questions Cloud

Compute a meteorological balloon of radius n : A meteorological balloon of radius 1.0M at sea level and 20 degrees C. At it's maximum altitude the radius of the balloon is 3.0M and the temperature is -20 degrees C
Calculate the income recognized by edwards : Calculate the income recognized by Edwards under the percentage-of-completion method of accounting in each of the years 2012, 2013, 2014.
Current excess foreign tax credit position : What measures should Tucson consider if it expects its current excess foreign tax credit position to persist in the long-run?
Find correct decision for two-tailed hypothesis test : If the data produce a t statistic of t = 2.50, then which of the following is the correct decision for a two-tailed hypothesis test?
Idempotent ring : In a ring R, an idempotent is an element x ? R such that x * x = x (where * denotes the ring multiplication). Show that if R is an integral domain, then R has exactly two idempotent elements.
Calculation of deferred tax asset and liability at the end : Machinery was acquired in January for $300,000. Straight-line depreciation over a ten-year life (no salvage value) is used. For tax purposes, accelerated depreciation is used and Orkin may deduct 14% for 2012.
Explain how reliable is the perfect gas law in comparison : How reliable is the perfect gas law in comparison with the van der Waals equation? Calculate the difference in pressure of 10.00g of CO2 confined to a volume of 100cm3 at 25 degrees Celsius between treating it as a perfect gas and a van der Waals ..
Determine the upper limit of the confidence interval : True mean chloride level of all healthy Washington residents. What is the lower limit of the 90% confidence interval? what is the upper limit of the 90% confidence interval?
What are the major classifications of inventory : What are the major classifications of inventory? Why would someone choose to use a perpetual over a period inventory system, or vice versa?

Reviews

Write a Review

Mathematics Questions & Answers

  Find probability for poisson random variable

Probability for Poisson Random Variable, During summer weekdays, boats arrive at the inlet drawbridge according to the Poisson distribution at a rate of 3 per hour

  Important information about graph parabola

Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.

  Solve automorphisms and conjugation

Automorphisms and Conjugation, Show that if H is any group then there is a group G that contains H as a normal subgroup with the property that for every automorphism f of H there is an element g of G such that the conjugation by g

  Find the regression coefficients

Find the regression coefficients.

  Find future value and probability

A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three regions are colored red, two are colored green and one is colored yellow

  Linear equation and line

A jazz concert brought in $179,500 on the sale of 8,700 tickets. if the tickets were sold for $15 and $25each, how many of each type of ticket were sold?

  Solve the following equation

Solve the following equation

  Information about systems of equations

What systems of equations can be solved by graphing or using substitution or elimination? Which method do you like best and why would it be different method. How would you answer this question?

  Counting problems and combinations

A Pasta bar has a build your own pasta option. On this option, the menu lists 4 types of pasta noodles, 6 different vegetable choices, 4 meat choices, 3 cheeses and 3 sauces.

  Information about linear algebra proofs

Let L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular.

  Wff-formation rules

Question babsed on  wff-formation rules.  Let L be a language whose wff-formation rules are the following..

  Equations of straight lines

A line passes through the point (6, -6) and has a slope of -3. Write an equation for this line in (x, y) coordinates. Write equations for the vertical and the horizontal lines passing through the point (6, 1) in (x,y) coordinates.

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