Geodesic
On the Decomposition of Continuous Modules
Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 296-301

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We prove two theorems on continuous modules: Decomposition Theorem. A continuous module M has a decomposition, M = M 1 ⊕ M 2, such that M 1 is essential over a direct sum of indecomposable summands A i of M, and M 2 has no uniform submodules; and these data are uniquely determined by M up to isomorphism. Direct Sum Theorem. A finite direct sum of indecomposable modules A i is continuous if and only if each A i is continuous and Aj -injective for all j ≠ i.
DOI : 10.4153/CMB-1982-041-x
Mots-clés : 16A52 
Müller, Bruno J.; Rizvi, S. Tariq. On the Decomposition of Continuous Modules. Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 296-301. doi: 10.4153/CMB-1982-041-x
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