| publication name | Absolutely Pure Semimodules |
|---|---|
| Authors | M. Zayed; A. Y. Abdelwanis3 |
| year | 2012 |
| keywords | absolutely pure semimodule, f-injective semimodule, Field- house regular semimodule |
| journal | International Journal of Algebra |
| volume | 6 |
| issue | Not Available |
| pages | Not Available |
| publisher | Not Available |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
In the present paper, a semimodule M over a semiring R is called absolutely pure if it is pure in every semimodule containing it as a subsemimodule. Some well-known properties of absolutely pure modules are extended to semimodules. We introduce and study two particular subclasses of absolutely pure semimodules, namely strongly absolutely pure (SAP) and nitely injective (f -injective) semimodules. When the semiring R is additively idempotent ,the SAP R