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A Study of the Zarisky Topology through Functors

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Abstract:

The aim of this paper is to study the Zarisky topology through a functor. In this paper we construct i) Zarisky topology in Kn and a functor associated with this topology; ii) Spec(R) is a Zarisky topology in a ring R, where Spec(R) denotes the set of all prime ideals of R and construct a functor ‘Spec’ associated with Zarisky topology; and finally iii) we study the functor ‘Spec’ associated with Zarisky topology.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 2)
Pages:
26-29
DOI:
10.18052/www.scipress.com/BMSA.2.26
Citation:
P. K. Rana "A Study of the Zarisky Topology through Functors", Bulletin of Mathematical Sciences and Applications, Vol. 2, pp. 26-29, 2012
Online since:
Nov 2012
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References:

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Adhikary, M.R., (1999): - Groups, Rings and Modules with Applications Universities Press, India.

Rana, P.K. and Adhikari, A., (2000): - A representation of affine variety, Bull. Cal. Math. Soc., 8(1&2)21-24, (2000).

Rana, P.K. (2009): -A study of the group of covering transformation through functors, Bulletin Mathematique, 33 (Lix) 2009(21-24).

Rana, P.K. (2011): -A study of functors associated with rings on continuous functions, JIAM Vol. 33(1), 2011, 73-78.

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