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Show that N is contained in P for each prime ideal, P of a commutative ring R.
Where N is the set of all nilpotent elements. "a" is nilpotent if a^n=0 for some positive integer n. N itself is an ideal.
What is the difference between an equation and an expression? How does knowing how to simplify an expression help with solving an equation?
Find the LCM of the denominators
Sketch by hand the graph y=[[x]] by first tabulating the values pf [[1]] for several numbers x. Then compare your graph with the plot from a graphing calculator.
Solve to the homogenous system of linear equations.
Define the function f: R → R by f(x) = x2 - 6. Briefly explain why f is not a 1-1 (one-to-one) function. Is the function g: Z → Z defined by g(n) = [n/2] a one to one function?
"Your friend is taking an algebra class that began on week after yours. How would you teach the multiplication of polynomials to him/her?"
Suppose Bob owns 8000 shares of company X and 6000 shares of Company Y. The total value of Bobs holding of these 2 companies is $680,000.
To make x thousand computer chips requires fixed expenditures of $352 plus $42 per thousand chips. Receipts from the sale of x thousand chips amount to $130 per thousand.
When solving compound inequalities, why is it important to know if the problem is an "and" or "or" question? X>2 and x
How can polynomial identities be proven? What can polynomial identities apply to beyond just polynomials? Prove that it is true through an algebraic proof, identifying each step.
Homomorphism image.
During the play, each player, in turn, draws a question at random from a stack of questions. The player then answers the question based on the cards that he /she sees (not the player's cards, which the player cannot see).
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