On the Topology of the Spectrum of Second Fuzzy Submodules

Mahjoob, Razieh; Ghaffari, Vahid; Ameri, Reza

doi:10.22075/ijnaa.2025.37391.5441

On the Topology of the Spectrum of Second Fuzzy Submodules

Articles in Press

Document Type : Research Paper

Authors

Razieh Mahjoob ¹

Vahid Ghaffari ²

Reza Ameri ³

¹ Department of Mathematics, Semnan University

² Department of Mathematics, Semnan University, Semnan, Iran

³ School of Mathematics, Statistics and computer science, College of Sciences University of Tehran, P.O. Box 14155-6455, Teheran, Iran

10.22075/ijnaa.2025.37391.5441

Abstract

Let R be a commutative ring with identity and M a unitary R-module. This paper studies the second fuzzy submodules of M, extending the idea of second submodules. We focus on the collection Spec^s(F^* (M)), which consists of all non-zero second fuzzy submodules of M, and apply a topology to this set. In the final sections, we examine the topological characteristics of the space Spec^s(F^* (M)).

Keywords

Second submodule

Second fuzzy submodule

I-(tops-module)