The Decomposition of a Finitely Generated Module over Some Special Ring

This research aims to give the decompositions of a finitely generated module over some special ring, such as principal ideal domain and Dedekind domain. One main problems with theory is analyze objects module. was using literature study on modules topics from scientific journals, especially those related theory. And by selective cases we find pattern build conjecture or hypothesis, deductive proof, prove state it theorem. The result in this decomposition direct sum torsion submodule torsion-free submodule. Since always free domain, then Last, generalize We found became projective Then These results should help researchers