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

2023/07/18 by A. A. Tuganbaev, Tuganbaev, Askar
Computer Science · Mathematics · #16D25 #16R99 #Advanced Algebra and Logic #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2307.09450

openalex publication_date 2023/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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