Correct.
Typically single-action, when referring to Autoloaders, describes a weapon where the hammer must be cocked before the gun can be fired. The trigger typically takes a light, short pull to fire the gun. All subsequent shots are also fired single-action.
Double Action typically refers to an autoloader where the hammer is down for the first shot. It takes a longer pull, and usually heavier pull to fire the gun. After the first shot the weapon is fired from the cocked position. This means these guns have two distinct trigger pulls and actions.
Double Action only guns are similar to DA's, but after the first shot the hammer returns to the uncocked position. These have a uniform trigger pull as the hammer must move from the uncocked position for every trigger pull.
Then you have striker fired guns such as the glocks. The have no hammer at all, and have a uniform pull for each trigger pull.
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