The total torsion element graph of semimodules over commutative semirings

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.

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Bibliographic Details
Date:2013
Main Authors: Ebrahimi Atani, S., Esmaeili Khalil Saraei, F.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2013
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/152303
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.