The structure of extending modules over noetherian rings (Q752143)

Let R be a right noetherian ring. Further to work of \textit{M. Okado} [Math. Jap. 29, 939-941 (1984; Zbl 0548.16024)] the main result is (theorem 8) the R-module M is extending [see the authors' preceding paper, Osaka J. Math. 25, No.3, 531-538 (1988; Zbl 0715.13006) for terminology] if and only if M is a direct sum of uniform submodules, \((1\)-C\({}_ 1)\) holds and each local direct summand of M is a direct summand. There is further a study of extending modules M where \(M=\oplus M_ i\) and each \(M_ i\) is uniform with local endomorphism ring and where R is commutative.