Prime submodules (modules) relative to an ideal

Key Points

• Prime submodules relative to an ideal ensure specific conditions when expressed as products of elements.
• A proper submodule of a unital left-module can be classified as prime relative to an ideal if it meets certain criteria.
• Properties of prime modules relative to an ideal are extensively explored in terms of their relationships to submodules.
• The study provides insights into prime submodules and modules, expanding existing theoretical frameworks in module theory.