# Jacob Levitzki's papers

Below we give as complete a list as we are able of Jacob Levitzki's papers. The final paper in our list was published seven years after Levitzki's death. It contains the following note:
Professor J Levitzki died in 1956.This result has been found among his papers and was arranged for publication by S A Amitsur.

The papers
1. Über vollständig reduzible Ringe und ihre Unterringe, Nachrichten Göttingen 1929 (1929), 240-244.

2. Über vollständig reduzible Ringe und Unterringe, Math. Zeit. 33 (1931), 663-691.

3. Über nilpotente Unterringe, Mathematische Annalen 105 (1931), 620-627.

4. On nilpotent subrings, Bull. Amer. Math. Soc. 37 (1931), 43-44.

5. A Galois theory in semi-simple rings, Bull. Amer. Math. Soc. 37 (1931), 44.

6. On normal products of algebras, Bull. Amer. Math. Soc. 37 (1931), 340-341.

7. On normal products of algebras, Ann. of Math. (2) 33 (3) (1932), 377-402.

8. On automorphisms of certain rings, Bull. Amer. Math. Soc. 40 (1934), 388.

9. On automorphisms of certain rings, Ann. of Math. (2) 36 (1935), 984-992.

10. On the equivalence of the nilpotent elements of a semi simple ring, Compositio Math. 5 (1938), 392-402.

11. On rings which satisfy the minimum condition for the right-hand ideals, Compositio Math. 7 (1939), 214-222.

12. On the radical of a general ring, Bull. Amer. Math. Soc. 49 (1943), 462-466.

13. Semi-nilpotent ideals, Duke Math. J. 10 (1943), 553-556.

14. A characteristic condition for semi-primary rings, Duke Math. J. 11 (1944), 367-368.

15. Solution of a problem of G Koethe, Amer. J. Math. 67 (1945), 437-442.

16. On three problems concerning nil-rings, Bull. Amer. Math. Soc. 51 (1945), 913-919.

17. On powers with transfinite exponents (Hebrew), Riveon Lematematika 1 (1946), 8-13.

18. On a problem of A Kurosch, Bull. Amer. Math. Soc. 52 (1946), 1033-1035.

19. On powers with transfinite exponents. II (Hebrew), Riveon Lematematika 2 (1947), 1-7.

20. A lemma on the radical and an application (Hebrew), Riveon Lematematika 3 (1949), 20-24, 38.

21. On multiplicative systems, Compositio Math. 8 (1950), 76-80.

22. A theorem on polynomial identities, Proc. Amer. Math. Soc. 1 (1950), 334-341.

23. (with S A Amitsur) Minimal identities for algebras, Proc. Amer. Math. Soc. 1 (1950), 449-463.

24. Prime ideals and the lower radical, Amer. J. Math. 73 (1951), 25-29.

25. (with A S Amitsur) Remarks on minimal identities for algebras, Proc. Amer. Math. Soc. 2 (1951), 320-327.

26. A note on prime ideals (Hebrew), Riveon Lematematika 5 (1951), 1-4.

27. On the structure of algebraic algebras and related rings, Trans. Amer. Math. Soc. 74 (1953), 384-409.

28. On the rank of commutativity (Hebrew), Riveon Lematematika 6 (1953), 1-14.

29. Contributions to the theory of nilrings (Hebrew), Riveon Lematematika 7 (1954), 50-70.

30. On $P$-soluble rings, Trans. Amer. Math. Soc. 77 (1954), 216-237.

31. On minimal central identities (Hebrew), Riveon Lematematika 8 (1954), 41-58.

32. Some theorems concerning associative Zorn rings, Bull. Res. Council Israel 3 (1954), 380-384.

33. The matricial rank and its application in the theory of $I$-rings, Univ. Lisboa. Revista Fac. Ci. A. (2) 3 (1954-55), 203-237.

34. On nil subrings, Israel J. Math. 1 (1963), 215-216.

Last Updated April 2015