Arden was the maiden name of Shakespeare's mother, Mary, however the primary reference of the enterprise's title is named after the Forest of Arden, in which Shakespeare's As You Like It is set.
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Arden - The Complete Works (Arden Shakespeare), The Arden Shakespeare Complete Works ("Arden Shakespeare")
(For instance, the Complete Works published by the Arden company is often referred to as the Arden Shakespeare, and the edition produced by Yale University called the Yale Shakespeare.)