Get button name from ActionListener?

JButton btnClear = new JButton("clear");
btnClear.addActionListener(this);
btnClear.setName("clear");

//..............
//..............

public void actionPerformed(ActionEvent e) {
   JButton o = (JButton)e.getSource();
   String name = o.getName();
   if (name == "clear")
   {
       euroMillText.setText("");
   }
   else if (name == "eumill")
   {
       getLottoNumbers();
   }
   //JOptionPane.showMessageDialog(null,name);      
}   

Keep a reference of the buttons in a Map

String letters[] = {"0", "a", "b", "c", "d", "e", "f"};
JButton btn;
int count = 0;

HashMap<String,JButton> buttonCache = new HashMap<String,JButton>();


for (int f=1; f < 7;f++){

    for (int i=1; i < 7;i++){
        btn = new JButton(letters[f]+i, cup);
        mainGameWindow.add(btn[i]);
        btn.addActionListener(this);
        String stringCommand = Integer.toString(randomArrayNum());
        btn.setActionCommand(stringCommand);
        buttonMap.put(stringCommand,btn);
        count++;
        if(count == 18){
            generateArray();
        }

    }

} 

Then, in your ActionListener, get the button back from the command :

public void actionPerformed(ActionEvent e) {
    String command = ((JButton) e.getSource()).getActionCommand();
    JButton button = buttonCache.get(command);
    if (null != button) {
        // do something with the button
    }
}

Edit

Revisiting this answer over five years later, I have no idea why I suggested a HashMap :P

This code does the exact same thing, no third party Map :

String letters[] = {"0", "a", "b", "c", "d", "e", "f"};
int count = 0;

for (int f=1; f < 7;f++){
    for (int i=1; i < 7;i++) {
        String stringCommand = Integer.toString(randomArrayNum());
        Button btn = new JButton(letters[f]+i, cup);

        btn.setActionCommand(stringCommand);
        btn.addActionListener(this);
        mainGameWindow.add(btn[i]);

        // NOTE : I have no idea what this is for...
        count++;
        if(count == 18){
            generateArray();
        }
    }
}

in the ActionListener...

public void actionPerformed(ActionEvent e) {
    JButton button = (JButton) e.getSource();
    String command = button.getActionCommand();

    // do something with the button
    // the command may help identifying the button...
}

String buttonText = ((JButton) e.getSource()).getText()