Abstract Algebra Answers

Let R be a commutative Q-algebra generated by x1, x2, . . . with the relations xixj = 0 for all i, j. Show that R is semiprimary (that is, rad R is nilpotent, and R/rad R is semisimple), but neither artinian nor noetherian.

If R is a ring with identity, then prove that

<a> =\left \{ \sum_{finite}^{n} s_{ia}t_{i}; s_{i}, t_{i}\epsilon R\right \} =RaR

evatuate \int_{}^{c} \ f(z)dz, f(z)=\frac{z^{2}}{z+3} , c=\left | z \right |=1

If x+1/x is not equal to 0 for any real value
and x to the power 3 + 1/x to the power 3=0
find x to the power 5 + 1/x to the power 5

Find the sum of 120 + 119 + 118 + .... + 3 + 2 + 1

give an another place i will pull the earth with a strong stick,whose words?

apples are shipped in crates that measure 60 inches long 40 inches wide and 32 inches high what is the volume of each crates

It expects to have sales of $30,000 in January, $35,000 in February, and $35,000 in March. If 20% of sales are for cash, 40% are credit sales paid in the month after the sale, and another 40% are credit sales paid 2 months after the sale, what are the expected cash receipts for March?

A hockey puck has a mass of 210 g. If the hockey puck has 73 J of kinetic energy, what is its speed?

A car is traveling 60 mph A bike is seen 100 yards away going 20 mph. First case is the bike is traveling in the same direction as the car; second case is that the bike is moving towards the car. The question is what is the difference in time of "closure"? (Ie., when do they arrive at the same point? What is the point(time and distance) where they would collide? Also HOW do you solve this. And is the answer for other speeds and distances linear?