Title of article :
Fuzzy visible submodules with some results
Author/Authors :
Mohammed, Sajda K Department of Mathematics - College of Education for Girls - University of Kufa, Iraq , Shihab, Buthyna N 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 :
Fuzzy visible submodule , Pure fuzzy submodule , T-pure fuzzy submodule , Fully cancellation fuzzy module , Strongly cancellation fuzzy module
Journal title :
International Journal of Nonlinear Analysis and Applications
