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Algebra and Discrete Mathematics, 2013, Volume 16, Issue 1, Pages 1–15
(Mi adm429)
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This article is cited in 1 scientific paper (total 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.
Received: 01.09.2011 Revised: 26.04.2012
Citation:
S. Ebrahimi Atani, F. Esmaeili Khalil Saraei, “The total torsion element graph of semimodules over commutative semirings”, Algebra Discrete Math., 16:1 (2013), 1–15
Linking options:
https://www.mathnet.ru/eng/adm429 https://www.mathnet.ru/eng/adm/v16/i1/p1
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