Abstract Algebra Answers

How many concrete blocks of length. 40mm can be cut from a beam of 8.0m in length?

Five years ago, Dylan was half as old as Alyssa was then. Ten years from now, Dylan will be as old as Alyssa was five years ago. How old is Alyssa now?

solve y=sin(x+c) for c with 2 given values for x and y

Question: 595 - 210 x (470 - 477) - 818 = ?

Show that a principal right ideal aR in a ring R is projective as a right R-module iff annr(a) is of the form eR where e is an idempotent of R

Does every simple ring have IBN?

Let I be an ideal of a ring R contained in rad R (the Jacobson radical of R). Show that R is stably finite iff R/ I is.

Show that a ring R is not Dedekind-finite iff there exists an idempotent e in R such that eR isomorphic R as right R-modules.

Is every von Neumann regular ring von Neumann finite?

Show that, if M_R is an artinian module, then M is cohopfian.