Many of these small tractors actually have a dynamo and not an alternator although sometimes the dynamo is called an alternator.
Could you plse post a photo and also explain how you decided the alternator needed to be replaced.
Many owners find it much better to take the route of a one wire Denso Alternator. Its output is 35 amps.
I suggest you go with a mini DENSO one wire alternator. About $60 on ebay.
12V ALTERNATOR FOR CHEVY GM MINI DENSO STREET ROD RACE 1-WIRE 1218� 87-92 | eBay
You remove the existing wiring to your old alternator and tape up the ends of the wires.
With the new alternator, you run one new 10 or 12 gauge wire from the large terminal on the new Denso to the battery post on your starter.

Job done.
You don't use any existing wiring just leave it in place to make the job simple.
Using your existing wiring and connecting it to an alternator, which is not identical in every respect to the original one will leave you and most others frustrated.
If you absolutely have to have a charge light, then go with as charge indicator which is a self contained voltage sensor which turns on the lamp if the voltage goes below a set threshold. Absolutely as simple to install as a voltmeter. It has no interaction with the alternator nor its wiring. One wire to ground and the other to the battery +. Less than $10.
DC12V-24V New Car Motorcycle LED Panel Digital Voltage Meter Display Voltmeter | eBay
Here is the feed back from an owner of a small Kubota who chose to follow my suggestions.
Re: Alternator Prices
Got the new alternator installed the other day, very simple installation without having to make any mechanical changes.
Used the original battery + terminal and cut off the old 4 pin connector.
Thought about it for while and decided to connect the new LED voltmeter to the key switch.
Left everything else as was. This way if I forget to turn the key off the old idiot light will stay light and remind me to turn it off.
Worked great, 14.8v at startup and idle.
Dave
M7040