A Study of the Zarisky Topology through Functors

Rana, Pravanjan Kumar

doi:10.18052/www.scipress.com/BMSA.2.26

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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:

https://doi.org/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:

November 2012

Authors:

Pravanjan Kumar Rana

Keywords:

Affine Algebraic Set, Affine Variety, Category, Contravariant Functor, Natural Transformation

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Distribution:

Open Access

This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

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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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