2011 / September Volume 6 No.3
On Stronly Prime Spectrum Of $\Gamma$-Near Rings
Published Date |
2011 / September
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Title | On Stronly Prime Spectrum Of $\Gamma$-Near Rings |
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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,
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Received |
2010-11-15
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Accepted |
2010-11-15
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