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Prof. Maher Shedid Mahmoud Zayed :: Publications: |
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| Title: | 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 | Mahre shedid mahmoud zaied_zayedIJA1-4-2012 (1).pdf |
| 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 |
