The total torsion element graph of semimodules over commutative semirings

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• Main Authors: Ebrahimi Atani, S., Esmaeili Khalil Saraei, F.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152303
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The total torsion element graph of semimodules over commutative semirings / S. Ebrahimi Atani, F. Esmaeili Khalil Saraei // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 1–15. — Бібліогр.: 15 назв. — англ.

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.