2011 / September Volume 6 No.3
On Stronly Prime Spectrum Of $\Gamma$-Near Rings
| Published Date |
2011 / September
|
|---|---|
| Title | On Stronly Prime Spectrum Of $\Gamma$-Near Rings |
| Author | |
| Keyword | |
| Download | |
| Pagination | 329-345 |
| Abstract | In this paper, we prove that if $N$ is a subcommutative $\Gamma$-near ring with a
right unity and a strong left unity, then
(i) there is a one-to-one order preserving correspondence between pretopologies on $N$ and pretopologies on the left operator near-ring $L$ of $N$ and (ii) there is a one-to-one order preserving correspondence between topologies (Gabriel) on $N$ and topologies (Gabriel) on $L$. Finally, we show that if $N$ is a distributive $\Gamma$-near ring with right unity and a strong left unity, there is a one-to-one order preserving correspondence between bases for strongly prime spectrum of $N $ and bases for strongly prime spectrum of $L$. |
| AMS Subject Classification |
16Y30,16Y99,
|
| Received |
2010-11-15
|
| Accepted |
2010-11-15
|