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- Title
Direct summand of serial modules.
- Authors
B. A., AL-Housseynou; Diompy, Mankagna Albert; Diabang, André Souleye
- Abstract
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.
- Subjects
ASSOCIATIVE rings; RECOMMENDED books
- Publication
European Journal of Pure & Applied Mathematics, 2024, Vol 17, Issue 1, p410
- ISSN
1307-5543
- Publication type
Article
- DOI
10.29020/nybg.ejpam.v17i1.4973