Abstract
R will be a ring with identity and modules M will be unital right R-modules. In this paper, properties of modules having the summand intersection property (SIP) and the summand sum property (SSP) are studied. We study the direct sum of modules, the SIP and the SSP. We add some results concerning characterization of some rings by means of modules having the SIP or the SSP.
| Original language | English |
|---|---|
| Pages (from-to) | 469-490 |
| Number of pages | 22 |
| Journal | Jp Journal of Algebra Number Theory and Applications |
| Volume | 5 |
| Issue number | 3 |
| Publication status | Published - Dec 2005 |
Keywords
- (semi) hereditary ring
- SIP modules
- SSP modules
- V-ring
- Divisible module
- Finitely cogenerated module
- Finitely copresented module
- Injective hull
- Injective module
- Prime module
- Projective module
- Semisimple module
- Semisimple ring
- Torsion free module
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