Ternary rings
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- by W. G. Lister PDF
- Trans. Amer. Math. Soc. 154 (1971), 37-55 Request permission
Abstract:
We characterize those additive subgroups of rings which are closed under the triple ring product, then discuss their imbeddings in rings, their representation in terms of two types of modules, a radical theory, the structure of those which satisfy a minimum condition for certain ideals, and finally the classification of those which are simple ternary algebras over an algebraically closed or real closed field.References
- Nathan Jacobson, Structure of rings, American Mathematical Society Colloquium Publications, Vol. 37, American Mathematical Society, 190 Hope Street, Providence, R.I., 1956. MR 0081264
- William G. Lister, A structure theory of Lie triple systems, Trans. Amer. Math. Soc. 72 (1952), 217–242. MR 45702, DOI 10.1090/S0002-9947-1952-0045702-9
- W. G. Lister, On variants of Lie triple systems and their Lie algebras, Kumamoto J. Sci. Ser. A 7 (1965/67), 73–83. MR 230775
- M. F. Smiley, An introduction to Hestenes ternary rings, Amer. Math. Monthly 76 (1969), 245–248. MR 240130, DOI 10.2307/2316362
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 154 (1971), 37-55
- MSC: Primary 16.96
- DOI: https://doi.org/10.1090/S0002-9947-1971-0272835-6
- MathSciNet review: 0272835