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Fundamentalnaya i Prikladnaya Matematika, 2023, Volume 24, Issue 3, Pages 171–179 (Mi fpm1941)  
On rings with semidistributive modules

A. A. Tuganbaevab

a National Research University MPEI, Moscow, Russia
b Lomonosov Moscow State University, Moscow, Russia
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Abstract: A module is said to be distributive if the lattice of its submodules is distributive. A direct sum of distributive modules is called a semidistributive module. In this paper, we consider rings $A$ such that all right $A$-modules are semidistributive.
Funding agency Grant number
Russian Science Foundation 22-11-00052
This work was supported by Russian Scientific Foundation, project 22-11-00052.
English version:
Journal of Mathematical Sciences (New York), 2024, Volume 283, Issue 6, Pages 942–947
DOI: https://doi.org/10.1007/s10958-024-07322-7
Document Type: Article
UDC: 512.5
Language: Russian
Citation: A. A. Tuganbaev, “On rings with semidistributive modules”, Fundam. Prikl. Mat., 24:3 (2023), 171–179; J. Math. Sci., 283:6 (2024), 942–947
Citation in format AMSBIB
\Bibitem{Tug23}
\by A.~A.~Tuganbaev
\paper On rings with semidistributive modules
\jour Fundam. Prikl. Mat.
\yr 2023
\vol 24
\issue 3
\pages 171--179
\mathnet{http://mi.mathnet.ru/fpm1941}
\transl
\jour J. Math. Sci.
\yr 2024
\vol 283
\issue 6
\pages 942--947
\crossref{https://doi.org/10.1007/s10958-024-07322-7}
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