<![CDATA[S - multiplication modules are a generalization of multiplication modules. The properties or characteristics of -multiplication modules were previously introduced and discussed by Anderson et al. (2020) and Baupradist & Hukaew (2024), where the modules studied were right unital modules over a ring . The proofs in those studies were not discussed in full detail; therefore, this study aims to provide complete proofs of the characteristics of -multiplication modules, where the modules studied are left unital modules over a ring . This study is basic or pure research employing a literature review method. The research stages consist of: collecting primary and supporting literature; studying definitions, theorems, and examples related to groups, rings, ideals, modules, multiplication modules, and -multiplication modules; proving theorems related to the characteristics of -multiplication modules; and drawing conclusions. The results show that more comprehensive proofs were obtained for ten theorems concerning the characteristics of -multiplication modules. Furthermore, it was proven that the characteristics of -multiplication modules hold for left unital modules over a ring . The results of this study are expected to serve as a reference and additional source of literature in the field of module theory, particularly in relation to the characteristics of -multiplication modules. Future research may focus on exploring the characteristics of -multiplication modules of quotient modules and their relation to module homomorphisms]]>
Copyrights © 2026
