“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 7729 |
|
||||
| Abstract: | |||||
|
Let R be a commutative Noetherian ring. It is shown that R is Artinian if and only if every R-module is good, if and only if every R-module is representable. As a result, it follows that every nonzero submodule of any representable R-module is representable if and only if R is Artinian. This provides an answer to a question which is investigated in [1].
Download TeX format |
|||||
| back to top | |||||
