Geodesic
Modules Whose Cyclic Submodules Have Finite Dimension
Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 1-6

Voir la notice de l'article provenant de la source Cambridge University Press

R denotes an associative ring with identity. Module means unitary right R-module. A module has finite Goldie dimension over R if it does not contain an infinite direct sum of nonzero submodules [6]. We say R has finite (right) dimension if it has finite dimension as a right R-module. We denote the fact that M has finite dimension by dim (M)<∞.A nonzero submodule N of a module M is large in M if N has nontrivial intersection with nonzero submodules of M [7]. In this case M is called an essential extension of N. N⊆′M will denote N is essential (large) in M. If N has no proper essential extension in M, then N is closed in M. An injective essential extension of M, denoted I(M), is called the injective hull of M. 
Berry, David. Modules Whose Cyclic Submodules Have Finite Dimension. Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 1-6. doi: 10.4153/CMB-1976-001-0
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