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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Ternary rings


Author: W. G. Lister
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
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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.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1971-0272835-6
Keywords: Imbedding, enveloping ring, ternary module, radical, minimum condition, simplicity
Article copyright: © Copyright 1971 American Mathematical Society