This article is cited in 1 paper

RESEARCH ARTICLE

The total torsion element graph of semimodules over commutative semirings

S. Ebrahimi Atani, F. Esmaeili Khalil Saraei

Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, Iran

Abstract: 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.

Keywords: Semiring, Torsion element graph, $k$-subsemimodules, $Q_{M}$-subsemimodules.

MSC: 16Y60, 05C75

Received: 01.09.2011
Revised: 26.04.2012

Language: English

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