"Aladdin" is the trade name of the Mantle Lamp Company of America, which manufactired oil lamps with mantles from 1908 until 1968. Electric lamps were produced from 1932. Miscellaneous pieces other than lamps were created from 1938 to 1945.
Sources: Hazel Weatherman: Colored Glassware of the Depression Era, Book 2, page 20-21.
J.W.Courter: Aladdin: The Magic Name in Lamps.
Logo continued to be used in England during the 1970's and on special chimnies through the 1990's.