Answer to Question #22730 in Abstract Algebra for Irvin

Question #22730

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.

Expert's answer

Download Answer

Learn more about our help with Assignments: Abstract Algebra

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. $5.04 for 12 balloons
2. If R is a ring with identity, then prove that <a> =\left \{ \sum_{finite}^{n} s_{ia}t_{i}; s_
3. evatuate \int_{}^{c} \ f(z)dz, f(z)=\frac{z^{2}}{z+3} , c=\left | z \right |=1
4. How will I answer this? Let A={1,2,3} a.) R is the relation < on A b.) R is the relation >= o
5. Discuss at least two "real world" examples in which you use estimation in your daily life.
6. A random sample of enrollments from public institutions of higher learning (with enrollments under 1
7. 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 t

Who Can Help Me with My Assignment

There are three certainties in this world: Death, Taxes and Homework Assignments. No matter where you study, and no matter…
How to Finish Assignments When You Can’t

Crunch time is coming, deadlines need to be met, essays need to be submitted, and tests should be studied for.…
How to Effectively Study for a Math Test

Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…