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Direct-sum decomposition of atomic and orthogonally complete rings
Published online by Cambridge University Press: 09 April 2009
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In this paper we give a necessary and sufficient condition for decomposition (as a direct sum of fields) of a ring R in which for every x ∈ R there exists a (and hence the smallest) natural number n(x) > 1 such that . We would like to emphasize that in what follows R stands for a ring every element x of which satisfies (1).
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- Copyright © Australian Mathematical Society 1970
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