Faculty Publications
Direct Product Decomposition Of Alternative Rings
Document Type
Article
Keywords
Alternative ring, Direct product, Hyper atom, Nilpotent element, Orthognal complete
Journal/Book/Conference Title
Proceedings of the American Mathematical Society
Volume
47
Issue
1
First Page
53
Last Page
60
Abstract
It is shown that any alternative ring A equipped with the relation ≤, defined by x < y if and only if xy = x, is isomorphic to a direct product of alternative division rings if and only if the relation < is a partial order on A such that A is hyperatomic and orthogonally complete. © 1975 American Mathematical Society.
Department
Department of Mathematics
Original Publication Date
1-1-1975
DOI of published version
10.1090/S0002-9939-1975-0354796-3
Recommended Citation
Myung, Hyo Chul, "Direct Product Decomposition Of Alternative Rings" (1975). Faculty Publications. 5092.
https://scholarworks.uni.edu/facpub/5092
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