Abstract
In this paper we shall prove the following two theorems (the terminology is explained in § 2 below; all rings are assumed to be associative).THEOREM 1. Suppose that is a division ring of finite order m over its centre Z and let μ(m) denote the factor sequence 1, m, m2, … , mn, … . Then the rings μ(w) and Zμ(m) are isomorphic.
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