you described an iminium ion. it's not an amine, it's an imine. It's not usually given names like secondary and tertiary. Normally, an imine is RN=CR2. If you put two R groups on the nitrogen, you have an iminium ion. Usually, if there are alpha protons, you will get tautomerization to the corresponding enamine (an enamine is like an enol, except with a nitrogen instead of an oxygen).
you described an iminium ion. it's not an amine, it's an imine. It's not usually given names like secondary and tertiary. Normally, an imine is RN=CR2. If you put two R groups on the nitrogen, you have an iminium ion. Usually, if there are alpha protons, you will get tautomerization to the corresponding enamine (an enamine is like an enol, except with a nitrogen instead of an oxygen).