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On Stronly Prime Spectrum Of $\Gamma$-Near Rings
by C. Selvaraji   L. Madhuchelvi

Vol. 6 No. 3 (2011) P.329~P.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 $L$.

KEYWORDS
Pretopology, Gabriel topology, strongly prime spectrum

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 16Y30,16Y99,

MILESTONES

Revised : 2010-11-15
Accepted: 2010-11-15