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arXiv · 2307.09450

On Rings over Which All Modules Are Direct Sums of Distributive Modules

Askar Tuganbaev
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Abstract

A module is said to be \textsf{distributive} if the lattice of its submodules is distributive. A direct sum of distributive modules is called a \textsf{semidistributive} module. In this paper we consider rings $A$ such that all right $A$-modules are semidistributive.

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Askar Tuganbaev. 2023-07-18. On Rings over Which All Modules Are Direct Sums of Distributive Modules. https://arxiv.org/abs/2307.09450

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