# All Questions

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### Semisimple modules and the radical

I don't need a proof, but can someone tell me whether it is true that for all $A$-modules $V$ we have that $V/\text{rad}V$ is semisimple, where we define $\text{rad} V$ as the intersection of all ...
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### Drop Payment -Actuarial Science

Vanessa is accumulating a $10,000 fund by depositing$100 at the end of each month, starting September 1, 2002. If the nominal interest rate on the fund is 12% convertible monthly until May 1, 2005, ...
Let $A=\{0,1\}^n=\{(a_1,a_2,\ldots,a_n)\mid a_i\in\{0,1\}\}$. Let $B\subseteq A$ be such that if $(b_1,b_2,\ldots,b_n)\in B$,$(c_1,c_2,\ldots,c_n)\in A$, and $c_i\leq b_i$ for all $i$, then ...