Direct Summand of Serial Modules
Alhousseynou Ba, Mankagna Albert Diompy, André Souleye Diabang · European Journal of Pure and Applied Mathematics · 2024
Let R be an associative ring and M a unitary left R-module. An R-module M is said to be uniserial if its submodules are linearly ordered by inclusion. A serial module is a direct sum of uniserial modules. In this paper, we bring our modest contribution to the open problem listed in the book of Alberto Facchini "Module Theory" which states that is any direct summand of a serial module serial? The answer is yes for particular rings and R-modules.