Replication

Hi everyone, I have some questions on replication.

Asset + Derivative = Risk Free Rate

Asset - Risk Free Rate = - Derivative

Derivative - Risk Free Rate = - Asset

For the first equation, if I am long asset, I would need to be long put to have a riskless position?

For the second equation, if I am long asset, I would need to borrow at the risk free rate in order to replicate a short put?

For the third equation, I would need to borrow at the risk free rate and buy a call to replicate a short position in an asset?

Are my statements above accurate? What does the negative derivative mean? Does it mean we are going short?

Thank you