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On distributive modules and rings

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Abstract

In this paper we study ω-distributive modules, where ω is a cardinal number. We extend a characterization of distributive modules to ω-distributive modules. In particular, the case in which ω = n is a finite cardinal is considered. We apply the results to the case n = 2, obtaining new characterizations for distributive modules and rings. Special attention is given to saturated submodules and ideals.

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Authors and Affiliations

  1. Instituto de Matemática, Universidade Federal do Rio Grande do Sul, 91509-900, Porto Alegre, Brazil

    Miguel Ferrero & Alveri Sant’Ana

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  1. Miguel Ferrero
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  2. Alveri Sant’Ana
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Correspondence to Miguel Ferrero.

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Ferrero, M., Sant’Ana, A. On distributive modules and rings. Results. Math. 44, 74–85 (2003). https://doi.org/10.1007/BF03322914

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