![Modern Birkhäuser Classics: Module Theory : Endomorphism Rings and Direct Sum Decompositions in Some Classes of Modules (Paperback) - Walmart.com Modern Birkhäuser Classics: Module Theory : Endomorphism Rings and Direct Sum Decompositions in Some Classes of Modules (Paperback) - Walmart.com](https://i5.walmartimages.com/asr/da29e807-9f40-4827-84e5-8f27c610e94f.4bb659494f544bddc91ddfd44140e335.jpeg?odnHeight=612&odnWidth=612&odnBg=FFFFFF)
Modern Birkhäuser Classics: Module Theory : Endomorphism Rings and Direct Sum Decompositions in Some Classes of Modules (Paperback) - Walmart.com
![commutative algebra - Question about direct sum of Noetherian modules is Noetherian - Mathematics Stack Exchange commutative algebra - Question about direct sum of Noetherian modules is Noetherian - Mathematics Stack Exchange](https://i.stack.imgur.com/tFTIf.png)
commutative algebra - Question about direct sum of Noetherian modules is Noetherian - Mathematics Stack Exchange
![SOLVED:Let R=R_{1}+R_{2}+\cdots+R_{n} be the direct sum of the n rings R_{i}. If D is a right ideal of R, prove that D=D_{1}+D_{2}+\cdots+D_{n}, where D_{i}=D \cap R_{i} and that D is dense if SOLVED:Let R=R_{1}+R_{2}+\cdots+R_{n} be the direct sum of the n rings R_{i}. If D is a right ideal of R, prove that D=D_{1}+D_{2}+\cdots+D_{n}, where D_{i}=D \cap R_{i} and that D is dense if](https://cdn.numerade.com/previews/274110d5-1b03-4bef-9739-3c6ff044e5b9.gif)