International Journal of Nonlinear Analysis and Applications

Fuzzy visible submodules with some results

Document Type : Research Paper

Authors

1 Department of Mathematics, College of Education for Girls, University of Kufa, Iraq

2 Department of Mathematic, College of Education Pure science Ibn-Al-Haitham, University of Baghdad, Iraq

Abstract

In this paper, the concept of fuzzy visible submodules which is a new type of fuzzy submodules has been introduced. Some results and characterizations of fuzzy visible are established namely the homomorphic image of the fuzzy visible submodule, the sum of two fuzzy visible submodules. The relation between fuzzy visible submodule and its submodules. Also, the fuzzy quotient modules in sense of fuzzy visible have been presented. We prove that the intersection of a collection of fuzzy visible submodules are visible submodules and the converse is not true. Also, we define the strong cancellation fuzzy modules and we established some results of it with respect to fuzzy visible submodules. Many other properties we study in fuzzy visible submodules.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Special Issue
December 2021
Pages 2231-2241
  • Receive Date: 06 October 2021
  • Revise Date: 18 November 2021
  • Accept Date: 11 December 2021