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Issue:Intuitionistic fuzzy superfluous submodule

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http://ifigenia.org/wiki/issue:nifs/22/3/34-46
Title of paper: Intuitionistic fuzzy superfluous submodule
Author(s):
Poonam Kumar Sharma
Post Graduate, Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Gagandeep Kaur
Research scholar, I. K. Gujral Punjab Technical University, Jalandhar, Punjab, India
talktogagandeep@gmail.com
Presented at: 20th International Conference on Intuitionistic Fuzzy Sets, 2–3 September 2016, Sofia, Bulgaria
Published in: "Notes on IFS", Volume 22, 2016, Number 3, pages 34—46
Download:  PDF (132  Kb, File info)
Abstract: In this paper, we introduce the notion of intuitionistic fuzzy superfluous (or small) submodule of a module and study some of their properties. We establish the condition of an intuitionistic

fuzzy submodule to be an intuitionistic fuzzy superfluous submodule. A relationship between superfluous submodule and the intuitionistic fuzzy superfluous submodule is derived. We also study the nature of intuitionistic fuzzy superfluous submodules under intuitionistic fuzzy direct sum. A relation regarding intuitionistic fuzzy superfluous submodule and intuitionistic fuzzy quotient module is established. It is shown that the well-known relation between the Jacobson radical and the superfluous submodules does not hold in case of intuitionistic fuzzy superfluous submodules.

Keywords: Intuitionistic fuzzy superfluous submodules, Intuitionistic fuzzy indecomposable modules, Intuitionistic fuzzy direct sum, Intuitionistic fuzzy radical.
AMS Classification: 03F55, 16D10.
References:
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(ICMSA2010), 3–4 November, 2010, Kualalumpur, Malaysia., 330–335.

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