Abstract
For the case of right distributive rings, an overall description of strongly minimal right modules is given. In particular, we show that all strongly minimal faithful right modules are Σ-injective in this case. For a right distributive left Ore domain, a detailed description of strongly minimal indecomposable right modules is presented. We show that any strongly minimal faithful right module can be given the structure of a left module with respect to which it is strongly minimal and faithful.
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Translated fromAlgebra i Logika, Vol. 35, No. 3, pp. 345–358, May–June, 1996.
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Puninskaya, V.A. Strongly minimal modules over right distributive rings. Algebr Logic 35, 196–203 (1996). https://doi.org/10.1007/BF02367218
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DOI: https://doi.org/10.1007/BF02367218