On weakly S -second submodules

Key Points

• The study aims to explore the properties and behaviors of weakly S-second submodules, particularly in trivial ring extensions.
• Investigated definitions and characteristics of weakly S-second submodules.
• Provided various examples related to weakly S-second submodules.
• Examined behavior in trivial ring extensions.
• Identified specific properties of weakly S-second submodules.
• Presented multiple examples demonstrating these properties.
• Clarified the behavior of weakly S-second submodules in trivial ring extensions.