Krull was born and went to school in Baden-Baden. He attended the Universities of Freiburg, Rostock and finally Göttingen, where he earned his doctorate under Alfred Loewy. He worked as an instructor and professor at Freiburg, then spent a decade at the University of Erlangen. In 1939 Krull moved to become chair at the University of Bonn, where he remained for the rest of his life. Wolfgang Krull was a member of the NSDAP.
- Florian Schmaltz: Kampfstoff-Forschung im Nationalsozialismus - Zur Kooperation von Kaiser-Wilhelm-Instituten, Militär und Industrie. Wallstein Verlag, Göttingen 2005, ISBN 9783892448808, p. 333.
- Ore, Øystein (1937). "Review: W. Krull, Idealtheorie". Bull. Amer. Math. Soc. 43 (7): 460–461. doi:10.1090/s0002-9904-1937-06563-3.
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- O'Connor, John J.; Robertson, Edmund F., "Wolfgang Krull", MacTutor History of Mathematics archive, University of St Andrews.
- Wolfgang Krull at the Mathematics Genealogy Project
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