Direct product decomposition of alternative rings
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- by Hyo Chul Myung and Luis R. Jimenez PDF
- Proc. Amer. Math. Soc. 47 (1975), 53-60 Request permission
Abstract:
It is shown that any alternative ring $A$ equipped with the relation $\leqslant$, defined by $x \leqslant y$ if and only if $xy = {x^2}$, is isomorphic to a direct product of alternative division rings if and only if the relation $\leqslant$ is a partial order on $A$ such that $A$ is hyperatomic and orthogonally complete.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 53-60
- DOI: https://doi.org/10.1090/S0002-9939-1975-0354796-3
- MathSciNet review: 0354796