@phdthesis{digilib42629, month = {August}, title = {(R; S)-MODUL DAN PENERAPANNYA PADA KRIPTOGRAFI}, school = {UIN SUNAN KALIJAGA YOGYAKARTA}, author = {NIM.: 16610025 YUNIDA ANISA RAHAYU}, year = {2020}, note = {Pembimbing M. Zaki Riyanto, M.Sc}, keywords = {(R; S)-Module, Homomorphisms, Secret key exchange}, url = {https://digilib.uin-suka.ac.id/id/eprint/42629/}, abstract = {Many study in structural algebra conclude that R-module is a generalization of group and ring. As in group and ring, R-submodule, R-module homomorphism, as well as R-module homomorphism fundamental theorem can be defined from R-module. This study will focus on the concept of (R; S)-bimodule and (R; S)- module as the generalization of (R; S)-bimodule. Let R and S be rings, an abelian group M over + is called (R; S)-module if rms is in M for all r 2 R, m 2 M and s 2 S, and satisfy distributive and associative law. Structure (R; S) is a bimodule if there is exist central idempotent on ring R and S. Implementation of (R; S)-module on secret key exchange is successfully done by some modifications on Diffie-Hellman key exchange protocol} }