On commutative power-associative nilalgebras of low dimension
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- by Murray Gerstenhaber and Hyo Chul Myung PDF
- Proc. Amer. Math. Soc. 48 (1975), 29-32 Request permission
Abstract:
Commutative power-associative nilalgebras of dimension 4 and characteristic $\ne 2$ are shown to be nilpotent and all their isomorphism classes are determined.References
- A. A. Albert, Power-associative rings, Trans. Amer. Math. Soc. 64 (1948), 552–593. MR 27750, DOI 10.1090/S0002-9947-1948-0027750-7
- Murray Gerstenhaber, On nilalgebras and linear varieties of nilpotent matrices. II, Duke Math. J. 27 (1960), 21–31. MR 113911
- Robert L. Kruse and David T. Price, Nilpotent rings, Gordon and Breach Science Publishers, New York-London-Paris, 1969. MR 0266956 D. Suttles, A counterexample to a conjecture of Albert, Notices Amer. Math. Soc. 19 (1972), A-566. Abstract #72T-A169.
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 29-32
- MSC: Primary 17A10
- DOI: https://doi.org/10.1090/S0002-9939-1975-0364365-7
- MathSciNet review: 0364365