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Prof. Maher Shedid Mahmoud Zayed :: Publications: |
|
| Title: | An Application of Model Theory
to Semimodules |
| Authors: | M. ZAYED |
| Year: | 2007 |
| Keywords: | Not Available |
| Journal: | Logic Journal of IGPL |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Mahre shedid mahmoud zaied_jzm029v1.pdf |
| Supplementary materials | Not Available |
| Abstract: |
In this note, we prove that the theory T of cancellative semimodules over a semiring R has the amalgamation property. If R is an entire cancellative zerosumfree semiring, then T has no model-companion. In particular, the theory of commutative additively cancellative monoids forms an example of a non-companionable theory. |
