1Professor, Department of Science and Humanities, J.J. College of Engineering and Technology (Sowdambikaa Group of Institutions), Tiruchirappalli-620009, Tamilnadu, India, E-Mail: rajenagarajan1970@gmail.com
2Associate Professor, Department of Science and Humanities, J.J. College of Engineering and Technology (Sowdambikaa Group of Institutions), Tiruchirappalli-620009, Tamilnadu, India, E-Mail: drpraba@gmail.com
Online Published on 28 September, 2023.
In this paper, we define a new concept, called soft intersection action (SI) on M-N module structures on a soft set. This new notions gathers soft set theory and near-ring modulo theory together and it shows how a soft set effects on M-N module structure in the mean of union and inclusion of sets. We then obtain its basic properties with illustrative examples and derive some analog of classical M-N module theoretic concepts for SI-action on M-N-module. Finally , we give the application of SI-actions on M-N module theory.
Soft set, Near-ring, M-N module SI-action, M-N-ideal SI-action, α-inclusion, Pre-image, Soft anti-image
