On the Wedderburn principal theorem for commutative power-associative algebras
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- by Robert L. Hemminger PDF
- Trans. Amer. Math. Soc. 121 (1966), 36-51 Request permission
References
-
A. A. Albert, Structures of algebras, Amer. Math. Soc. Colloq. Publ. Vol. 24, Amer Math. Soc., Providence, R.I., 1939.
- A. A. Albert, The Wedderburn principal theorem for Jordan algebras, Ann. of Math. (2) 48 (1947), 1–7. MR 19601, DOI 10.2307/1969210
- A. A. Albert, Power-associative rings, Trans. Amer. Math. Soc. 64 (1948), 552–593. MR 27750, DOI 10.1090/S0002-9947-1948-0027750-7
- A. A. Albert, A theory of power-associative commutative algebras, Trans. Amer. Math. Soc. 69 (1950), 503–527. MR 38959, DOI 10.1090/S0002-9947-1950-0038959-X
- A. A. Albert, On commutative power-associative algebras of degree two, Trans. Amer. Math. Soc. 74 (1953), 323–343. MR 52409, DOI 10.1090/S0002-9947-1953-0052409-1
- N. Jacobson, A theorem on the structure of Jordan algebras, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 140–147. MR 75934, DOI 10.1073/pnas.42.3.140
- Louis A. Kokoris, New results on power-associative algebras, Trans. Amer. Math. Soc. 77 (1954), 363–373. MR 65543, DOI 10.1090/S0002-9947-1954-0065543-8
- Louis A. Kokoris, Simple power-associative algebras of degree two, Ann. of Math. (2) 64 (1956), 544–550. MR 81273, DOI 10.2307/1969601
- Louis A. Kokoris, On nilstable algebras, Proc. Amer. Math. Soc. 9 (1958), 697–701. MR 97433, DOI 10.1090/S0002-9939-1958-0097433-8
- Robert H. Oehmke, On commutative algebras of degree two, Trans. Amer. Math. Soc. 105 (1962), 295–313. MR 141694, DOI 10.1090/S0002-9947-1962-0141694-9
- A. J. Penico, The Wedderburn principal theorem for Jordan algebras, Trans. Amer. Math. Soc. 70 (1951), 404–420. MR 41120, DOI 10.1090/S0002-9947-1951-0041120-7
- R. D. Schafer, The Wedderburn principal theorem for alternative algebras, Bull. Amer. Math. Soc. 55 (1949), 604–614. MR 29895, DOI 10.1090/S0002-9904-1949-09259-5
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 121 (1966), 36-51
- MSC: Primary 17.20
- DOI: https://doi.org/10.1090/S0002-9947-1966-0202782-5
- MathSciNet review: 0202782