Abstract
An R-module V is a ray if for every R-module W, the R-homogeneous functions from V to W are additive. We use properties of the lattice of submodules of \( V, {\cal L}(V) \), to determine conditions for V to be a ray. We also use the lattice structure of \( {\cal L}(V) \) to further study those rings such that every R-module V is a ray. As a result, we can characterize all semisimple modules which are rays.
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Maxson, C.J., Wild, M. When are Homogeneous Functions Linear?. Results. Math. 47, 122–129 (2005). https://doi.org/10.1007/BF03323017
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DOI: https://doi.org/10.1007/BF03323017