The total torsion element graph of semimodules over commutative semirings

• Date: 2018
• Main Authors: Atani, S. Ebrahimi, Saraei, F. Esmaeili Khalil
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Semiring; Torsion element graph; \(k\)-subsemimodules; \(Q_M\)-subsemimodules; 16Y60; 05C75
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/750
• Journal Title: Algebra and Discrete Mathematics

We introduce and investigate the total torsion element graph of semimodules over a commutative semiring with non-zero identity. The main purpose of this paper is to extend the definition and results given in [2] to more general semimodule case.